Solve x² + 5x + 6 = 0
The solutions to x² + 5x + 6 = 0 are x = −2 and x = −3.
How to use this tool
- Enter a (coefficient of x²), b (coefficient of x) and c (constant) in the fields above.
- Results update instantly as you type — or click Calculate.
- Read your root 1 (x₁) and the full breakdown beneath it.
x² + 5x + 6 factors as (x + 2)(x + 3) = 0, giving roots x = −2 and x = −3.
Frequently asked questions
- What is the quadratic formula?
- For ax² + bx + c = 0, the roots are x = (-b ± √(b²-4ac)) / (2a). The discriminant b²-4ac determines the nature of the roots.