Click a category tab at the top (Equations, Roots & Radicals, Exponents & Logs, Polynomials, Number Theory, or Expressions). Then choose your specific problem type using the pill buttons. Fill in the input fields — or click Try Example to auto-fill a sample problem. Hit Solve to see the answer with step-by-step working. Use Clear to reset and start over. The symbol bar above text fields lets you insert common algebraic symbols with one click.
Linear Equationsax + b = 0 with full algebraic steps shown.
Quadratic EquationsQuadratic formula, discriminant analysis, both roots.
Systems of EquationsTwo simultaneous linear equations via Cramer’s Rule.
InequalitiesLinear inequalities with sign-flip and interval notation.
Absolute Value|ax + b| = c split into two cases with steps.
Square & Nth RootsEvaluate and simplify radicals, extract perfect factors.
Radical EquationsSolve √(ax + b) = c by squaring both sides.
ExponentsEvaluate bⁿ and apply product/quotient/power rules.
LogarithmsCompute log_b(x) and solve log equations.
PolynomialsEvaluate, add, and solve cubic equations numerically.
GCF & LCMGreatest common factor and least common multiple with Euclidean steps.
Percentages & ProportionsP% of W = V and cross-multiplication for proportions.
Simplify & ExpandSimplify and expand expressions using math.js engine.
Evaluate ExpressionsSubstitute a value of x and compute the result.
Can you solve quadratic equations by factoring?
Yes. The quadratic solver uses the full quadratic formula and shows the discriminant. When roots are whole numbers or simple fractions, the factored form is also identifiable from the roots. For example, x² − 5x + 6 = 0 gives x = 2 and x = 3, meaning it factors as (x − 2)(x − 3) = 0.
How does the system of equations solver work?
The system solver uses Cramer’s Rule with determinants. You provide the six coefficients of both equations and the calculator finds exact x and y values. If the determinant is zero, it detects whether the lines are parallel (no solution) or identical (infinite solutions).
How do the roots and radical tools work?
The square root tool finds the largest perfect-square factor of your number and rewrites the radical in simplest form (e.g. √72 = 6√2). The nth root tool computes any degree root. The radical equation tool solves √(ax+b) = c by squaring both sides and showing each step, including verifying the solution avoids extraneous roots.
Does this show step-by-step working for inequalities?
Yes. The inequality solver shows every step including the crucial sign-flip rule when dividing by a negative coefficient. The final answer is shown both as an inequality and in interval notation.
Is this algebra solver free?
Yes, completely free. No registration, no subscription, no usage limits. All 20+ problem types are available with full step-by-step solutions at no cost.
This algebra solver is provided for educational and verification purposes. While results are computed accurately using the math.js library and custom algorithms, this tool is not a substitute for formal mathematics instruction. Always verify your answers and consult a qualified teacher or tutor for deeper learning. Floating-point rounding may occur for very large or very small values.
