Five algebra operations

Algebra Solver

Simplify, solve, factor, expand and evaluate algebraic expressions. Full step-by-step working. Free. No signup. English and Dutch supported.

Workspace
Enter expression
Values
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Math keyboard
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Input tips
Use ^ for powers — e.g. x^2
Include = to solve. Without it the solver simplifies.
Dutch: vereenvoudig, los op, factoriseer, vouw uit
Output
Solution
Result
Operation
Type
Difficulty
Also try
Example output
Simplified
\(5x\)
1
\(3x + 2x\)
Start with the original expression.
2
\((3+2)x = 5x\)
Add the coefficients of the like terms.
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0 steps
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Examples

Click any example to load it directly into the solver.

How the Algebra Solver works

The solver detects your intent automatically, or you can set the operation using the tabs above the input.

Simplifying expressions

Like terms have their coefficients combined. The variable part stays unchanged.

\(3x + 2x + 5 = 5x + 5\)

Solving for a variable

For equations with =, inverse operations isolate the variable. Quadratics use factoring or the quadratic formula.

\(2x + 4 = 10 \;\Rightarrow\; 2x = 6 \;\Rightarrow\; x = 3\)

Factoring polynomials

GCF is extracted first. Then difference of squares or integer factor pairs for trinomials.

\(x^2 - 5x + 6 = (x-2)(x-3)\)

Expanding brackets

The distributive law is applied to every term, then like terms are collected.

\(2(x+3) = 2x + 6\)

Frequently asked questions

Simplifying reduces an expression to its most compact form. Solving finds the value of a variable that makes an equation true. The solver detects which you need automatically based on whether an equals sign is present.
Yes. Dutch: vereenvoudig, los op, factoriseer, vouw uit. German: vereinfachen, loesen, faktorisieren, ausklammern. French: simplifier, resoudre, factoriser, developper. The solver strips the phrase and detects the operation.
Yes. Every result includes numbered steps with mathematical working and a plain-language explanation of what happened and why.
Yes. MathQuify is free with no account required.