Algebra & Equation Solvers
Solve equations step by step: isolate x in a linear equation, apply the quadratic formula with full discriminant analysis, solve a 2×2 system, and work with exponents, radicals and logarithms.
Linear Equation Solver
Solve ax + b = c for x — one, none or infinitely many solutions — checked by substitution.
e.g. 3x + 7 = 22StepsExact resultDecimal result
Quadratic Formula
Solve ax² + bx + c = 0 with the discriminant — real, repeated or complex roots, exact and decimal.
e.g. x² − 5x + 6 = 0StepsExact resultDecimal result
Exponent (Power)
Raise a base to any power — negative and fractional exponents included — with an inverse-root check.
e.g. 2^10StepsDecimal resultVerified
Logarithm (any base)
Compute log in any base via change of base, domain-checked, verified by raising the base back.
e.g. log₁₀(1000)StepsDecimal resultVerified
Radical (nth Root)
Compute nth roots and simplify square roots to exact a√b form, with a power-back check.
e.g. Simplify √72StepsExact resultDecimal result
System of Equations (2×2)
Solve a 2×2 linear system with Cramer’s rule — unique, none or infinite — checked in both equations.
e.g. 2x+y=5, x−y=1StepsExact resultDecimal result