Verified math workspace

Math Solver

Enter a supported arithmetic or algebra problem. Math Solver shows what it understood, returns an exact answer, and separately checks each solver-generated step before marking it verified.

Free typed solving
Photo transcription
First-error checking

Typed algebra betaSolver v1

01 Enter
02 Confirm
03 Answer

Enter a problem

Type naturally. Use ⌘/Ctrl + Enter to continue.

Try

A narrower promise

How Math Solver verifies each step

Interpreted: You see the expression the system will solve before computation begins.
Checked: Each shown transformation has a verification record, separate from the rule that proposed it.
Bounded: When a problem is outside the supported range or cannot be verified, the solver says so instead of filling the gap.

See a step-by-step algebra solution

This small example shows the same structure the solver uses: expression, equivalent move, and a checked result.

01 / Read $2(x+3)=10$
Keep the original structure visible.
02 / Distribute $2x+6=10$
Apply the same operation across the group.
03 / Isolate $2x=4$
Subtract six from both sides.
04 / Verify $x=2$
Verified Divide both sides by two.

Supported examples

Try a supported math problem

2(x+3)=10

Distribute, then isolate the variable.

\frac{1}{2}+\frac{3}{4}

Keep the result exact instead of rounding.

2x+3x-4

Combine only terms that are actually alike.

Current coverage

What this Math Solver can solve

The main workspace handles several common arithmetic and algebra tasks. Choose the intent that matches your work, confirm the interpreted expression, and use the exact result as the starting point for review. The linked calculator pages explain the limits and method for each topic.

Arithmetic and fractions

Evaluate integers, rational numbers, and finite decimals without throwing away exact values. Fraction results stay in exact form, with a decimal approximation shown only when it helps.

Simplify algebraic expressions

Expand brackets and combine like terms in supported polynomial expressions through degree two. The solver keeps unlike terms separate and records the transformation used at each step.

Factor polynomials

Factor supported linear and quadratic expressions over the rational numbers. If a quadratic does not factor within that domain, the result says so rather than forcing an invented factorization.

Solve for x

Solve a one-variable linear equation and distinguish one solution, no solution, or all real numbers. Variable denominators and equations outside the linear boundary are rejected.

Linear inequalities

Work with one real variable and exact rational coefficients. When a step divides or multiplies by a negative value, the verifier checks that the comparison sign reverses correctly.

Systems of equations

Enter exactly two linear equations in two variables, separated by a semicolon. The result can be one ordered pair, no solution, or infinitely many solutions.

Exponents and radicals

Simplify supported numeric square roots and apply bounded exponent laws to one-variable monomials. Variable radicals, negative real radicands, and unrestricted polynomial powers remain outside the current scope.

Rational expressions

Cancel exact factors while preserving every value excluded by an original denominator. Supported rational equations also filter excluded values from the final solution set.

Complete the square

Rewrite a one-variable quadratic in exact vertex form. For a supported equation, the same method continues to the complete set of real roots.

Quadratic equations

Solve a supported one-variable quadratic with the quadratic formula. The answer keeps exact roots when possible and does not present a browser graph as proof of the solution.

From input to answer

How to use the solver

A short confirmation step prevents a misplaced sign, missing bracket, or transcription error from quietly becoming the wrong problem.

Enter one problem
Type an expression, equation, inequality, or supported system. Pick a specific intent such as Solve, Simplify, Factor, or Complete square when more than one operation could make sense.
Check the interpretation
Read the formatted expression before continuing. If you used an assisted photo, PDF, or drawing input, compare every symbol with the original because the transcription is still unverified.
Review the exact answer
The solver keeps fractions, radicals, and algebraic forms exact when the capability supports them. Approximate decimals are secondary and clearly labelled.
Inspect the work
Each displayed solver-generated transformation carries its own verification status. You can study the steps, ask for a supported hint, or check your own typed work without treating an unverified line as correct.

Exact answers before decimal shortcuts

A decimal can hide useful structure. One third is more informative as 1/3 than 0.333, and an exact radical can show why a quadratic root has the form it does. The solver therefore treats exact values as authoritative and uses approximations only as an aid.

The same caution applies to explanations. A fluent sentence is not evidence that an algebra step is valid. The verification methodology separates the rule that proposes a transformation from the check that accepts or rejects it.

Common questions

Math Solver FAQ

The short version: typed solving stays free, assisted input is always confirmed before solving, and the verified label applies only inside the published capability boundary.

What types of math problems can I solve?

The current solver covers exact arithmetic, basic polynomial simplification and rational factorization, one-variable linear equations and inequalities, two-variable linear systems, numeric radicals, bounded monomial exponent laws, completing the square, rational expressions and equations, and basic quadratic equations. Each area has explicit limits, so an unsupported problem is declined instead of guessed.

Is Math Solver free?

Typed solving for supported problems is free and does not require an account. Provider-backed photo, PDF, or drawing transcription may require an account and assisted credits when the related input option is marked Ready. You can always review the transcription before the core solver uses it.

Is this an AI math solver?

The verified core is not a general AI answer generator. It uses a deterministic parser, solver, teaching planner, and separate verifier for supported mathematics. An assisted input feature may create an unverified transcription candidate, but you must confirm that candidate before solving begins.

Is a maths solver different from a math solver?

No. Maths solver is the common British English phrasing, while math solver is more common in American English. Both describe the same kind of tool: a calculator that solves a problem and shows how the answer was reached.

Why does the solver sometimes reject a problem?

A rejection usually means the expression is ambiguous, uses an unsupported operation, exceeds a published limit, or cannot be checked conclusively. The refusal is deliberate. It is safer than presenting an answer or explanation that the verifier cannot support.

Will it show every possible solution method?

Not yet. The page shows the method implemented for that capability, such as the quadratic formula for a supported quadratic equation or elimination for a two-variable linear system. Other valid classroom methods may exist even when they are not shown here.