Linear
ax + b = 0 ⇒ x = −b/a (a ≠ 0).
Quadratic
ax² + bx + c = 0 ⇒ x = (−b ± √(b² − 4ac)) / (2a). Discriminant zero: one root. Negative: complex or no real closed form depending on the engine.
Expand and factor
(x+1)² = x² + 2x + 1. Factoring tries to reverse that. Not every polynomial factors nicely over the rationals.
FAQ
Systems of two variables?
This page solves one unknown. Reduce the system first.
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Open the calculator — Algebra Calculator