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

1 Answer
May 24, 2018

Solving #x^2-10x=0# gives us #x=0,-10#

Explanation:

So we can solve #x^2-10x=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(x-10)=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.