Question

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

Answer 1

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.