How do you solve x^2 - 5x - 6 = 0 by factoring?

Aug 6, 2015

Since the $6$ has a $-$sign, we're looking for two factors of $6$ that have a difference of $5$ (and thus opposite signs).

Explanation:

$6 \mathmr{and} 1$ will do, where the $6$ will be negative and the $1$ positive, to get to the $- 5$

The factoring will be:
$\left(x - 6\right) \left(x + 1\right) = 0 \to x = 6 \mathmr{and} x = - 1$