# How do you solve x^2 - x - 6 = 0?

Jun 13, 2018

$x = - 2 \text{ or } x = 3$

#### Explanation:

$\text{the factors of - 6 which sum to - 1 are - 3 and + 2}$

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

$\text{equate each factor to zero and solve for } x$

$x + 2 = 0 \Rightarrow x = - 2$

$x - 3 = 0 \Rightarrow x = 3$