# MathSolver

> Free Math Solver with Step-by-Step Solutions


## Posts

- [How to Factor Polynomials: Complete Step-by-Step Guide](https://mathsolver.site/how-to-factor-polynomials/): Factoring polynomials is one of the most useful skills in algebra.
- [How to Scan and Solve Math Problems with Your Phone Camera](https://mathsolver.site/scan-and-solve-math-problems/): Stuck on a math problem from a textbook, a worksheet, or your own notebook?
- [How to Solve for X: Step-by-Step Equation Solving Guide](https://mathsolver.site/how-to-solve-for-x/): Learning how to solve for x is one of the most useful skills in mathematics.

## Pages

- [Why "careless" mistakes aren't careless](https://mathsolver.site/blog/careless-mistakes-arent-careless/): Most lost math points come from three repeatable error patterns, not carelessness. Learn to catch sign errors, dropped ±, and order-of-operations slips.
- [Terms of use](https://mathsolver.site/terms/): Terms of use for MathSolver.site.
- [Math solver — type your problem](https://mathsolver.site/solver/): Free math solver with step-by-step solutions: type an equation or expression and get a verified answer with every step shown. No signup.
- [Privacy policy](https://mathsolver.site/privacy-policy/): Privacy policy of MathSolver.site: no accounts, calculations run in your browser, nothing you type leaves your device.
- [Methodology](https://mathsolver.site/methodology/): How MathSolver.site works: deterministic calculation engine, step generation, testing approach, and known limitations.
- [Math guides](https://mathsolver.site/guides/): Math guides that support the calculators: the concepts behind proportions, quadratics, standard deviation, derivatives, and more.
- [Editorial policy](https://mathsolver.site/editorial-policy/): Editorial standards of MathSolver.site: original content, accuracy process, and how corrections are handled.
- [Disclaimer](https://mathsolver.site/disclaimer/): Disclaimer: MathSolver.site tools are educational aids. Verify critical results independently.
- [Contact](https://mathsolver.site/contact/): Contact MathSolver.site: report errors, suggest calculators, or ask questions.
- [All calculators](https://mathsolver.site/calculators/): Browse all free math calculators: algebra, geometry, statistics, calculus. Every tool shows step-by-step working. No signup.
- [Blog](https://mathsolver.site/blog/): The MathSolver.site blog: study guides, common-mistake breakdowns, and calculator walkthroughs.
- [About](https://mathsolver.site/about/): About MathSolver.site: an independent project building free calculators that show every step and verify every answer.
- [A free alternative to Microsoft Math Solver](https://mathsolver.site/microsoft-math-solver-alternative/): Microsoft Math Solver was retired in July 2025. MathSolver.site offers free calculators with every step shown — no app, no signup.
- [Dot Product Calculator](https://mathsolver.site/calculators/dot-product-calculator/): Enter two vectors and get the dot product with component-by-component steps, both magnitudes, and the angle between them in degrees and radians. Free, no signup.
- [Composite Function Calculator](https://mathsolver.site/calculators/composite-function-calculator/): Enter f(x) and g(x) and get (f ∘ g)(x) and (g ∘ f)(x) expanded step by step, with values at any x you choose. Free, no signup.
- [Math Homework Solver: Solve This Question with Steps](https://mathsolver.site/guides/math-homework-solver/): Every student hits the question that will not budge. You have tried it three ways, the numbers will not cooperate, and the deadline is tonight.
- [Math Solver with Steps: Step-by-Step Solutions Free](https://mathsolver.site/guides/math-solver-with-steps/): A final answer tells you what. Steps tell you how.
- [AI Math Solver: Free Tool That Shows Every Step](https://mathsolver.site/guides/ai-math-solver/): An AI math solver is an online tool that reads a math problem, works out the answer, and explains each step of the solution.
- [Factor x⁴−5x²+4: Biquadratic, Step by Step](https://mathsolver.site/guides/factor-x4-5x2-plus-4/): Factor x⁴ − 5x² + 4. A degree-4 polynomial looks intimidating, and students either freeze or reach for the rational root theorem and test ±1, ±2, ±4 one by one.
- [Solve |2x−3|=7: Absolute Value Equation](https://mathsolver.site/guides/solve-absolute-value-equation/): Absolute value equations confuse students because the | | bars hide a fork in the road: the quantity inside can be positive or negative, and both possibilities must be followed.
- [Limit of (eˣ−1−x)/x² as x→0: Solved](https://mathsolver.site/guides/limit-e-x-1-x-over-x-squared/): Find the limit of (eˣ − 1 − x)/x² as x approaches 0. Direct substitution gives (1 − 1 − 0)/0 = 0/0, the classic indeterminate form.
- [Solve log2(x)+log2(x−2)=3 (Extraneous Root)](https://mathsolver.site/guides/solve-log-equation-extraneous/): This equation is famous among teachers for one reason: it punishes students who solve correctly but forget to check.
- [Integral of eˣ sin x: The Circular Trick](https://mathsolver.site/guides/integral-e-x-sin-x/): Find ∫eˣ sin x dx.
- [Implicit Differentiation x²+y²=25 (Circle)](https://mathsolver.site/guides/implicit-differentiation-circle/): The equation x² + y² = 25 describes a circle of radius 5 centered at the origin.
- [Quadratic Equation with Complex Roots: x²+4x+5=0](https://mathsolver.site/guides/quadratic-complex-roots/): The problem: solve x² + 4x + 5 = 0.
- [Derivative of xˣ: Logarithmic Differentiation](https://mathsolver.site/guides/derivative-of-x-to-the-x/): Find the derivative of xˣ. This problem is famous for one reason: every rule you know fails on it.
- [Derivative of (x^2+1)/(x−1) by the Quotient Rule](https://mathsolver.site/guides/quotient-rule-example/): The problem: differentiate f(x) = (x² + 1)/(x − 1) using the quotient rule.
- [Integral of x ln x: Integration by Parts](https://mathsolver.site/guides/integral-x-ln-x/): The integral ∫x ln x dx is the classic first meeting with integration by parts for most students.
- [Integral of x²eˣ: By Parts Twice (Solved)](https://mathsolver.site/guides/integration-by-parts-x-squared-e-x/): Find ∫x²eˣdx. This is the classic integration-by-parts problem, and it is hard for exactly one reason: one round of integration by parts does not finish the job.
- [Linear Approximation of sqrt(x+1) at x=3: Example](https://mathsolver.site/guides/linear-approximation-sqrt/): The problem: find the linear approximation of f(x) = √(x + 1) at x = 3, and use it to estimate √4.1.
- [Solve 3x3 System of Equations: Worked Example](https://mathsolver.site/guides/solve-3x3-system-of-equations/): A 3x3 system of equations means three equations with three unknowns. Students usually find these hard for one reason: there are too many moving parts.
- [Triple Integral of xyz Over a Box: Worked Example](https://mathsolver.site/guides/triple-integral-xyz/): The problem: evaluate ∭ xyz dV over the box 0 ≤ x ≤ 1, 0 ≤ y ≤ 2, 0 ≤ z ≤ 3.
- [Partial Derivative of x^2y^3 + e^(xy): Worked Example](https://mathsolver.site/guides/partial-derivative-example/): The problem: find ∂f/∂x for f(x, y) = x²y³ + e^(xy).
- [Implicit Differentiation Calculator: Find dy/dx with Steps](https://mathsolver.site/calculators/implicit-derivative-calculator/): Enter an equation relating x and y, such as x^2+y^2=25.
- [Absolute Value Equation Calculator: Solve |ax+b|=c with Steps](https://mathsolver.site/calculators/absolute-value-equation-calculator/): Enter an absolute value equation such as |2x-3|=7.
- [Log Equation Calculator: Solve Logarithmic Equations with Steps](https://mathsolver.site/calculators/log-equation-calculator/): Enter a logarithmic equation such as log2(x)+log2(x-2)=3.
- [Limit Calculator](https://mathsolver.site/calculators/limit-calculator/): Enter a function f(x) and the value a that x approaches. Choose a two-sided limit or a one-sided limit from the left or right.
- [Linear Approximation Calculator](https://mathsolver.site/calculators/linear-approximation-calculator/): Enter a function f(x), the point a where you want the tangent line, and one or more x values to approximate.
- [Partial Derivative Calculator](https://mathsolver.site/calculators/partial-derivative-calculator/): Enter a polynomial in x, y and z, pick the variable, and press Calculate.
- [Triple Integral Calculator](https://mathsolver.site/calculators/triple-integral-calculator/): Enter a polynomial in x, y and z (like 2xy + z) and constant limits for each variable.
- [Weighted Average Calculator](https://mathsolver.site/calculators/weighted-average-calculator/): Each line: value,weight — e.g. a grade of 90 worth 3 credits.
- [Expression Simplifier](https://mathsolver.site/calculators/simplify-expression-calculator/): Type a polynomial in x (like 3x^2 + 2x − 5) and press Simplify.
- [Distance Calculator](https://mathsolver.site/calculators/distance-calculator/): Enter the (x, y) coordinates of both points and press Calculate. The distance formula d = √((x₂−x₁)² + (y₂−y₁)²) is applied with every step shown.
- [Word Problem Solver](https://mathsolver.site/calculators/word-problem-solver/): Type your word problem above.
- [Probability Calculator](https://mathsolver.site/calculators/probability-calculator/): Choose basic probability, combinations, or permutations. Enter your numbers and get the answer with full working.
- [Inequality Solver](https://mathsolver.site/calculators/inequality-solver/): Enter the coefficients a, b, and c for ax + b < c (or >, ≤, ≥). The solver isolates x step by step and gives the answer in interval notation.
- [Matrix Calculator](https://mathsolver.site/calculators/matrix-calculator/): Pick an operation, choose 2×2 or 3×3, type your numbers, and press Calculate. Every result comes with step-by-step working.
- [Binary Translator: Convert Text to Binary and Binary to Text](https://mathsolver.site/calculators/binary-translator/): Free binary translator: turn text into 8-bit binary code or decode binary back to readable text, with each character conversion shown.
- [Surface Area Calculator: Cube, Sphere, Cylinder, Cone, Prism](https://mathsolver.site/calculators/surface-area-calculator/): Free surface area calculator for cube, rectangular prism, sphere, cylinder, and cone. Enter dimensions to get the surface area with the formula and steps.
- [X-Intercept Calculator: Find Where a Graph Crosses the X-Axis](https://mathsolver.site/calculators/x-intercept-calculator/): Free x-intercept calculator: enter a linear or quadratic equation to find where it crosses the x-axis, with step-by-step working shown.
- [Stone Calculator: Convert Stones to Pounds and Kilograms](https://mathsolver.site/calculators/stone-calculator/): Free stone calculator: convert stones to pounds and kilograms, or pounds and kilograms back to stones, with the conversion steps shown.
- [Long Division Calculator: Divide with Step-by-Step Working](https://mathsolver.site/calculators/long-division-calculator/): Free long division calculator: enter dividend and divisor to get the quotient and remainder with full step-by-step long division working shown.
- [Exponent rules: the complete field guide](https://mathsolver.site/blog/exponent-rules/): All seven exponent rules in one place: product, quotient, power of a power, zero & negative exponents — with examples and the classic mistakes.
- [Half angle identities without the confusion](https://mathsolver.site/blog/half-angle-identities/): Half angle identities demystified: sin(θ/2) = ±√((1−cosθ)/2), cos(θ/2) = ±√((1+cosθ)/2) — how to pick the ± sign, with worked examples.
- [The change of base formula, explained](https://mathsolver.site/blog/change-of-base-formula/): The change of base formula lets you compute any logarithm on a standard calculator: log_b(x) = ln(x) ÷ ln(b), with examples, proofs & pitfalls.
- [Pythagorean triples: the integer right triangles](https://mathsolver.site/blog/pythagorean-triples/): Pythagorean triples like 3-4-5 and 5-12-13 explained: what makes them work, the five famous families, and Euclid’s formula to generate them.
- [Double angle identities, finally demystified](https://mathsolver.site/blog/double-angle-identities/): Master the double angle identities: sin2θ = 2sinθcosθ, all three forms of cos2θ, and tan2θ — with derivations, examples & common mistakes.
- [Z-Score Calculator](https://mathsolver.site/calculators/z-score-calculator/): Free z-score calculator: enter a value, mean and standard deviation to get the z-score with formula steps and plain-English interpretation.
- [Radians to Degrees Converter](https://mathsolver.site/calculators/angle-converter/): Free radians to degrees converter — and degrees to radians: convert angles both directions with the π-based formula steps shown. No signup.
- [Mixed Fraction Calculator](https://mathsolver.site/calculators/mixed-fraction-calculator/): Free mixed fraction calculator: convert mixed numbers to improper fractions and improper fractions back to mixed, with every step shown. No signup.
- [Fraction to Decimal Calculator](https://mathsolver.site/calculators/fraction-to-decimal-calculator/): Free fraction to decimal calculator: convert any fraction to a decimal with repeating-digit detection (like 0.(3)) and long-division steps shown.
- [Decimal to Fraction Calculator](https://mathsolver.site/calculators/decimal-to-fraction-calculator/): Free decimal to fraction calculator: convert any decimal like 0.875 to a simplified fraction (7/8) with full GCD Euclidean steps. No signup.
- [Length Unit Converter](https://mathsolver.site/calculators/unit-converter/): Free length unit converter: convert mm, cm, meters, km, inches, feet, yards and miles with the exact conversion factor shown at each step.
- [Asphalt Calculator](https://mathsolver.site/calculators/asphalt-calculator/): Free asphalt calculator: enter length, width and depth in inches to estimate tons of hot-mix asphalt for driveways, with every step shown.
- [Cubic Yard Calculator](https://mathsolver.site/calculators/cubic-yard-calculator/): Free cubic yard calculator: enter length, width and depth in feet to get cubic yards for soil, mulch, gravel or concrete, with all steps shown.
- [Gravel Calculator](https://mathsolver.site/calculators/gravel-calculator/): Free gravel calculator: enter length, width and depth to find cubic yards and tons of gravel for driveways & paths, with every step shown. No signup.
- [Square Footage Calculator](https://mathsolver.site/calculators/square-footage-calculator/): Free square footage calculator: enter length and width in feet to get square feet and square yards for flooring, paint & real estate, with steps shown.
- [Turning word problems into equations](https://mathsolver.site/blog/turning-word-problems-into-equations/): Word problems are translation exercises. A 4-step method for converting sentences into equations you can actually solve.
- [Trigonometry calculators](https://mathsolver.site/calculators/trigonometry/): Free trigonometry calculators with step-by-step working: sine, cosine, tangent and the law of cosines. Verified answers, no signup.
- [SOH CAH TOA, finally explained](https://mathsolver.site/blog/soh-cah-toa-explained/): SOH CAH TOA finally explained: what sine, cosine and tangent actually mean on a right triangle, with a worked example.
- [Practice quizzes](https://mathsolver.site/practice/): Free math practice quizzes — arithmetic, linear equations, fractions and percentages with instant checking and worked solutions. No signup.
- [Sine, cosine & tangent calculator](https://mathsolver.site/calculators/trigonometry/trig-functions/): Free sin cos tan calculator — compute sine, cosine and tangent for any angle in degrees or radians, with step-by-step working.
- [Logarithms without fear](https://mathsolver.site/blog/logarithms-without-fear/): Logarithms are just "what power?" questions. Learn the three log rules that solve 90% of log problems, with examples.
- [Logarithm calculator](https://mathsolver.site/calculators/logarithm-calculator/): Free logarithm calculator — compute log base 10, natural log, or any base, with step-by-step working.
- [Degrees vs radians: the 5-second check](https://mathsolver.site/blog/degrees-vs-radians/): Why your calculator has two angle modes, when each is used, and the 5-second check that catches the classic mode error.
- [How to practice math effectively](https://mathsolver.site/blog/how-to-practice-math-effectively/): Re-reading notes feels productive and isn't. What actually builds math skill: retrieval practice, interleaving, and immediate checking.
- [Law of cosines calculator](https://mathsolver.site/calculators/trigonometry/law-of-cosines/): Free law of cosines calculator — find a missing side or angle of any triangle with full step-by-step working.
- [Photo math solver](https://mathsolver.site/solver/image/): Snap a photo of a math problem and get step-by-step solutions. Free image solver: OCR reads the problem, you confirm it, the engine solves it.
- [Algebra, start to finish](https://mathsolver.site/guides/algebra/): Learn algebra properly: solving linear equations, the quadratic formula, and slope — with worked examples and free step-by-step calculators.
- [Trapezoid Area Calculator](https://mathsolver.site/calculators/trapezoid-area/): Trapezoid area formula A = (1/2)(a + b)h with a free calculator: enter the two bases and height with steps.
- [System of Equations Calculator](https://mathsolver.site/calculators/system-of-equations/): Free system of equations solver: enter two linear equations and get x and y with elimination steps. Handles no-solution and infinite-solution cases.
- [Statistics calculators](https://mathsolver.site/calculators/statistics/): Free statistics calculators: average, standard deviation, mean median mode — with full step-by-step working.
- [Standard Deviation Calculator](https://mathsolver.site/calculators/standard-deviation-calculator/): Free standard deviation calculator: population or sample SD with full step-by-step working (mean, deviations, variance). No signup.
- [Slope Calculator](https://mathsolver.site/calculators/slope-calculator/): Free slope calculator: enter two points and get the slope as a fraction and decimal, with rise-over-run steps. No signup.
- [Ratio Calculator](https://mathsolver.site/calculators/ratio-calculator/): Free ratio calculator: simplify any ratio to lowest terms, see the decimal value, with step-by-step working shown. No signup.
- [Quadratic Formula Calculator](https://mathsolver.site/calculators/quadratic-formula-calculator/): Free quadratic equation solver: enter a, b, c and get real or complex roots with full quadratic-formula steps. No signup.
- [Pythagorean Theorem Calculator](https://mathsolver.site/calculators/pythagorean-theorem/): Free Pythagorean theorem calculator: enter any two sides of a right triangle and solve for the third, with exact square-root and decimal answers.
- [Pyramid Volume Calculator](https://mathsolver.site/calculators/pyramid-volume/): Pyramid volume formula V = (1/3) × base area × height with a free calculator: enter base dimensions and height with steps.
- [Proportion Calculator](https://mathsolver.site/calculators/proportion-calculator/): Free proportion calculator: enter any three values of a/b = c/d and find the missing one with full step-by-step working. No signup.
- [Percentage Calculator](https://mathsolver.site/calculators/percentage-calculator/): Free percentage calculator with three modes: what is X% of Y, X is what percent of Y, and percent increase/decrease. Steps shown.
- [Midpoint Calculator](https://mathsolver.site/calculators/midpoint-calculator/): Free midpoint formula calculator: enter two points (x1, y1), (x2, y2) and get the exact midpoint with substitution steps.
- [Mean, Median & Mode Calculator](https://mathsolver.site/calculators/mean-median-mode-calculator/): Free mean median mode calculator: enter numbers and compare all three averages side by side with steps. No signup.
- [LCM Calculator](https://mathsolver.site/calculators/lcm-calculator/): Free LCM calculator: find the least common multiple of two numbers with step-by-step working via the GCF. No signup.
- [Polynomial Integral Calculator](https://mathsolver.site/calculators/integral-calculator/): Free integral calculator: integrate polynomial expressions term by term with reverse-power-rule steps. No signup.
- [Graphing Calculator](https://mathsolver.site/calculators/graphing-calculator/): Free interactive graphing calculator: plot up to three functions, pan, zoom, read coordinates, with a table of values. No signup.
- [Geometry calculators](https://mathsolver.site/calculators/geometry/): Free geometry calculators: cylinder, cone, pyramid volumes and circle, trapezoid areas — formulas explained with steps.
- [General Math calculators](https://mathsolver.site/calculators/general-math/): Free general math calculators: percentages, fractions, ratios, proportions, GCF, LCM, prime factorization — all with steps.
- [GCF Calculator](https://mathsolver.site/calculators/gcf-calculator/): Free GCF calculator: find the greatest common factor of two numbers with full Euclidean algorithm steps shown. No signup.
- [Fraction Calculator](https://mathsolver.site/calculators/fraction-calculator/): Free fraction calculator: add, subtract, multiply and divide fractions and mixed numbers with step-by-step working. No signup.
- [Factoring Calculator](https://mathsolver.site/calculators/factoring-calculator/): Free factoring calculator: factor quadratic trinomials into binomials with integer-factor steps. Handles GCF extraction and unfactorable cases.
- [Prime Factorization Calculator](https://mathsolver.site/calculators/factor-calculator/): Free factor calculator: prime factorization of any whole number with each division step shown. No signup.
- [Polynomial Derivative Calculator](https://mathsolver.site/calculators/derivative-calculator/): Free derivative calculator: differentiate polynomial expressions term by term with power-rule steps shown. No signup.
- [Cylinder Volume Calculator](https://mathsolver.site/calculators/cylinder-volume/): Cylinder volume formula V = πr²h with a free calculator: enter radius and height, get exact and decimal volume with steps.
- [Cone Volume Calculator](https://mathsolver.site/calculators/cone-volume/): Cone volume formula V = (1/3)πr²h with a free calculator: enter radius and height for exact and decimal volume with steps.
- [Circle Area Calculator](https://mathsolver.site/calculators/circle-area/): Circle area formula A = πr² with a free calculator: enter the radius for exact and decimal area with steps.
- [Calculus calculators](https://mathsolver.site/calculators/calculus/): Free calculus calculators: polynomial derivatives and integrals with power-rule steps shown.
- [Average Calculator](https://mathsolver.site/calculators/average-calculator/): Free average calculator: enter your numbers and get the mean with the addition and division steps shown. No signup.
- [Linear Equation Solver](https://mathsolver.site/calculators/algebra-solver/): Free algebra solver: solve linear equations like 2x + 3 = 11 step by step. Handles no-solution and infinite-solution cases. No signup.
- [Algebra calculators](https://mathsolver.site/calculators/algebra/): Free algebra calculators: quadratic formula, slope, linear equations — all with step-by-step working. No signup.
- [Elimination vs substitution: which to use?](https://mathsolver.site/blog/systems-of-equations-elimination-vs-substitution/): Two equations, two unknowns: when to use elimination vs substitution, how to read the no-solution and infinite-solution cases, with a worked example.
- [The Pythagorean theorem beyond triangles](https://mathsolver.site/blog/pythagorean-theorem-beyond-triangles/): a²+b²=c² shows up in distances, screens, maps, and physics. Five places the Pythagorean theorem hides outside geometry class.
- [Population vs sample: the n vs n−1 decision](https://mathsolver.site/blog/population-vs-sample/): When to divide by n vs n−1 in standard deviation: the population vs sample decision explained with a flowchart and examples.
- [How to factor trinomials](https://mathsolver.site/blog/how-to-factor-trinomials/): Factor any quadratic trinomial step by step: the GCF-first rule, the cross-check method, and what to do when nothing factors.


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