# How do you solve x^2=-8x-16?

Dec 12, 2016

$x = - 4$

#### Explanation:

You would move ${x}^{2}$ to the opposite side of the equal sign, changing its sign.

The new equation would be

$- {x}^{2} - 8 x - 16 = 0$

To solve the equation, you could use the quadratic formula or factor it. In this case, factoring the equation would be the easiest way to go.

$- \left({x}^{2} + 8 x + 16\right) = 0$

$- {\left(x + 4\right)}^{2} = 0$

Therefore,

$x = - 4$