# How do you factor and solve  x^2 +6x=-9?

Sep 7, 2016

$x = - 3$

#### Explanation:

${x}^{2} + 6 x + 9 = 0$

Find factors of 9 which add up to 6.
The signs are the same, both +.

$3 \times 3 = 9 \mathmr{and} 3 + 3 = 6$

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

Both brackets are the same, so there is only one solution.

$x = - 3$