# How do you solve 4x^2-4x=0?

Sep 29, 2015

The solutions are
color(blue)(x=0,x=1

#### Explanation:

4x^2−4x=0

Both the above terms have $4 x$ in common:

4x^2−4x=color(blue)((4x)(x-1)

Equating the factors to zero we obtain the solutions:

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

x-1=0, color(blue)(x=1