Equations and Systems

Solve one-variable linear equations with steps, fractions, parentheses, domain restrictions, and an answer check.

Solve quadratic equations from a full equation or standard coefficients. See the discriminant, real or complex roots, Vieta checks, excluded values, and a parabola graph.

Solve cubic equations from a full equation or coefficients with Cardano's method, real and complex roots, a depressed-cubic discriminant, and a graph.

Solve biquadratic equations with the x-squared substitution method, intermediate values, real or complex roots, and a graph of the even polynomial.

Solve a 2x2 system of linear equations with Cramer's rule, determinants, solution classification, fractions, and substitution check.

Solve two linear equations in x and y from full equation input. Supports parentheses, fractions, Cramer's rule steps, graph, and substitution check.

Solve three linear equations from free-form input with x, y, and z, including parentheses, fractions, Cramer's Rule steps, rank checks, and substitution verification.

Solve a 3x3 system of linear equations by coefficients with Cramer's rule, Gaussian elimination steps, classification, and answer check.

Solve square systems of linear equations from 2x2 to 5x5 with row operations, partial pivoting, back substitution, ranks, and solution classification.

Solve square systems from 2x2 to 5x5 with Cramer's rule, main and replacement determinants, step output, and a substitution check.

Solve one-variable linear inequalities with steps, sign-flip rule, interval notation, and a number line.