# How do you solve x^2 + 5x + 6 = 0 algebraically?

Jul 1, 2016

$x = - 3$ OR $x = - 2$

#### Explanation:

We have: ${x}^{2} + 5 x + 6 = 0$

Step 1: Factor
Since we have already set the quadratic equal to 0, we can just factor.
$\left(x + 3\right) \left(x + 2\right) = 0$

Step 2: Set each factor equal to 0
$x + 3 = 0$ OR $x + 2 = 0$
$x = - 3$ OR $x = - 2$