Algebra
Equation solvers and expression tools. Polynomial problems are solved with exact fractions and radicals where possible, and every symbolic result is checked numerically before it is shown.
Linear Equation SolverSolve linear equations in one variable exactly, with each algebraic step shown and fractions kept exact.Quadratic Equation SolverSolve quadratic equations with the discriminant and quadratic formula shown step by step, including exact radical and complex roots.Polynomial Equation SolverFind all real and complex roots of polynomial equations: exact rational roots first, then numerical roots for the rest.System of Equations SolverSolve systems of linear equations with exact Gauss–Jordan elimination; detects no-solution and infinitely-many-solution cases.Inequality SolverSolve polynomial and rational inequalities in one variable and get the answer in interval notation with the sign analysis.Expression SimplifierSimplify algebraic expressions by combining like terms and applying algebraic identities; results are verified numerically.Expression ExpanderExpand products and powers of algebraic expressions — brackets, binomials and multivariable polynomials.Expression FactorizerFactor polynomials and algebraic expressions over the rationals, with the result checked against the original expression.Polynomial CalculatorAdd, subtract, multiply and divide polynomials with exact long division, quotient, remainder and greatest common divisor.Completing the SquareRewrite a quadratic in vertex form a(x − h)² + k with every step, and read off the vertex, axis of symmetry and extreme value.Rational Expression SimplifierCombine and reduce rational expressions by cancelling the polynomial GCD, and list the values excluded from the domain.Substitution CalculatorSubstitute numbers or expressions for variables and evaluate or simplify the result, with each replacement shown.