# How do you solve x^2-10x=0 ?

May 24, 2018

Solving ${x}^{2} - 10 x = 0$ gives us $x = 0 , - 10$

#### Explanation:

So we can solve ${x}^{2} - 10 x = 0$ by factoring and finding the zeros to it.

So if we were to factor the left side, we can take out the Greatest Common factor which is an x which leaves us with

$x \left(x - 10\right) = 0$

So we already know one solution which $x = 0$ because the x outside of the parentheses give us a solution to this equation.

So we now set $x - 10$ to 0 (like this: $x - 10 = 0$) which is $x = 10$ when we add 10 to both sides.