# How do you solve x^2 - x - 2 = 0 by factoring?

Aug 12, 2015

$x = 2$
or
$x = - 1$

#### Explanation:

${x}^{2} - x - 2 = 0$
can be factored as
$\textcolor{w h i t e}{\text{XXXX}}$$\left(x - 2\right) \left(x + 1\right) = 0$

Since $a \times b = 0$ implies either $a = 0$ or $b = 0$

$\left(x - 2\right) \times \left(x + 1\right) = 0$ implies $x - 2 = 0$ or $x + 1 = 0$

which, in turn implies:
$\textcolor{w h i t e}{\text{XXXX}}$$x = 2$ or $x = - 1$