# How do you solve x^2 + 8x = 0?

Jun 8, 2016

$x = - 8 , 0$

#### Explanation:

Factor an $x$ term from both terms on the left-hand side.

$x \left(x + 8\right) = 0$

Now that we have two separate terms being multiplied and equaling $0$, the terms being $x$ and $\left(x + 8\right)$, we know that either one of these terms must be equal to $0$.

So, we have $x = 0$ or $x + 8 = 0$, so the two solutions are $x = - 8 , 0$.