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

Aug 12, 2015

The solutions are:
color(blue)(x=0,x=4

Explanation:

${x}^{2} - 4 x = 0$

Here color(blue)(x is common to both the terms of the expression

$\textcolor{b l u e}{x} \left(x - 4\right) = 0$

Now we equate each of the two factors to zero, to obtain the solutions.

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