# How do you solve x^2 - 9x = -8?

Feb 5, 2016

$x = 8$ or $x = 1$

#### Explanation:

Given:
$\textcolor{w h i t e}{\text{XXX}} {x}^{2} - 9 x = - 8$

Re-write as
$\textcolor{w h i t e}{\text{XXX}} {x}^{2} - 9 x + 8 = 0$

Factor
$\textcolor{w h i t e}{\text{XXX}} \left(x - 8\right) \left(x - 1\right) = 0$

Which implies either $\left(x - 8\right) = 0$ or $\left(x - 1\right) = 0$

So either $x = 8$ or $x = 1$