# How do you solve x^2 + 9x + 18 = 0?

Dec 25, 2015

$x = - 3 , - 6$

#### Explanation:

${x}^{2} + 9 x + 18 = 0$

Find two numbers that when added equal $9$ and when multiplied equal $18$. The numbers $3$ and $9$ meet the criteria.

Rewrite the expression.

$\left(x + 3\right) \left(x + 6\right) = 0$

Solve for $x$.

$x + 3 = 0$

$x = - 3$

$x + 6 = 0$

$x = - 6$

$x = - 3 , - 6$