Equation Solver

Linear and quadratic equations with step-by-step solutions

2x + 3 = 0

x + = 0

x² + -3x + 2 = 0

x² + x + = 0

Formulas

Linear: ax + b = 0 → x = −b / a (when a ≠ 0)
Quadratic: x = (−b ± √(b² − 4ac)) / 2a
Discriminant Δ = b² − 4ac:
- Δ > 0 → two distinct real roots
- Δ = 0 → one repeated real root
- Δ < 0 → two complex conjugate roots
Vieta's formulas: x₁ + x₂ = −b/a, x₁ · x₂ = c/a