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

Jul 2, 2015

I found:
${x}_{1} = 0$
${x}_{2} = 2$

#### Explanation:

Try collecting $x$ to get:
$x \left(x - 2\right) = 0$
this is true either if $x = 0$ or $x - 2 = 0$;
so you get two solutions:
${x}_{1} = 0$
${x}_{2} = 2$

Alternately you can use the Quadratic Formula but it is boring!