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

Mar 28, 2018

The 2 solutions are $x = - 2 \mathmr{and} x = - 3$.

#### Explanation:

Get everything on one side of the equal sign.

${x}^{2} + 5 x + 6 = 0$

Now factor.

$\left(x + 2\right) \cdot \left(x + 3\right) = 0$

The left side will equal zero when either of the 2 factors equal zero. so the 2 solutions are found as follows:

$x + 2 = 0 \text{ therefore } x = - 2$

$x + 3 = 0 \text{ therefore } x = - 3$

I hope this helps,
Steve