# How do you solve x^2 – 9x = -20 by factoring?

Oct 1, 2015

$x = 4$ or $x = 5$

#### Explanation:

${x}^{2} - 9 x = - 20$

$\rightarrow \textcolor{w h i t e}{\text{XXX}} {x}^{2} - 9 x + 20 = 0$

$\rightarrow \textcolor{w h i t e}{\text{XXX}} \left(x - 4\right) \left(x - 5\right) = 0$

$\rightarrow \textcolor{w h i t e}{\text{XXX}} \left(x - 4\right) = 0$ or $\textcolor{w h i t e}{\text{XX}} \left(x - 5\right) = 0$

$\rightarrow \textcolor{w h i t e}{\text{XXX")x=4color(white)("XXXX}}$ or $\textcolor{w h i t e}{\text{XX}} x = 5$