# How do you solve x^2 - 16 = 0 by factoring?

Sep 29, 2015

The solutions are
color(blue)(x=-4,x=4

#### Explanation:

As per property
$\textcolor{b l u e}{{a}^{2} - {b}^{2}} = \left(a + b\right) \left(a - b\right)$

Expressing the given equation in the same manner:

x^2-16=color(blue)(x^2-4^2

x^2-4^2 = color(blue)((x+4)(x-4)

Now we equate the factors to zero to obtain the solutions

x+4 =0, color(blue)(x=-4
x-4 =0, color(blue)(x=4