# How do you solve x^2 - 16x = - 64 ?

Jun 15, 2015

color(green)( x = 8

#### Explanation:

${x}^{2} - 16 x + 64 = 0$
We can first factorise this expression and then proceed towards finding the solution.

Factorising by splitting the middle term

${x}^{2} - 16 x + 64 = {x}^{2} - 8 x - 8 x + 64$

${x}^{2} - 8 x - 8 x + 64 = x \left(x - 8\right) - 8 \left(x - 8\right)$

 =color(green)((x-8)(x-8)
So the solution for the expression will be:
$x - 8 = 0$
color(green)( x = 8