Solve x² + 5x + 6 = 0

May 21, 2026Mathematics

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Answer

x = -2, x = -3

Step-by-step solution

3 steps

To solve the quadratic equation $x^2 + 5x + 6 = 0$ , we can factor the expression.

Find two numbers that multiply to 6 and add to 5.
The numbers are 2 and 3.
Factor the quadratic equation using these numbers.
$(x + 2)(x + 3) = 0$
Set each factor equal to zero and solve for $x$ .
$x + 2 = 0 \quad \text{or} \quad x + 3 = 0$ $x = -2 \quad \text{or} \quad x = -3$
The solutions are $x = -2$ and $x = -3$ .
$x = -2, x = -3$

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