Equation Solver with Steps

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Quick Summary

Solve quadratic equations (real or complex roots, discriminant, vertex, axis of symmetry) and 2-variable linear systems — with the working shown, not just the answer.

Interactive Client Prototype Sandbox

x² + x + = 0

Solutionx₁ = 3, x₂ = 2

Working

Discriminant Δ = b² − 4ac = (-5)² − 4·1·6 = 1

Vertex x = −b/2a = 2.5, y = -0.25

Axis of symmetry: x = 2.5

Δ > 0 → two real roots: x = (−b ± √Δ) / 2a

How to use the Equation Solver with Steps

Step-by-Step Guide

Pick Quadratic or Linear System and type the coefficients. The solution and a step-by-step derivation appear instantly.

Examplex² − 5x + 6 = 0 ➔ Δ = 1, roots x₁ = 3, x₂ = 2, vertex (2.5, −0.25).

Who it's for

Students, teachers, engineers, and anyone checking algebra.

Core Features

Quadratic solver: discriminant, real or complex roots, vertex, and axis of symmetry.
2×2 linear system solver via Cramer's rule.
Step-by-step working shown for every result.
Handles degenerate cases (a=0, no solution, infinitely many).

🛡️ No tracking — your inputs, keys, and details never leave this client sandbox.