# How do you solve x(x+6)=-2 using the quadratic formula?

Feb 29, 2016

$x \left(x + 6\right) = - 2 , {x}^{2} + 6 x + 2 = 0 , a = 1 , b = 6 , c = 2$
$x = \frac{- 6 \pm \sqrt{{6}^{2} - 4 \left(1\right) \left(2\right)}}{2} = \frac{- 6 \pm \sqrt{28}}{2} = \frac{- 6 \pm 4 \sqrt{7}}{2}$
$x = - 3 \pm 2 \sqrt{7}$

#### Explanation:

First distribute the x into x+6 and then put everything on one side then use the quadratic formula to solve for x.