# How do you solve f(x)=x^2-x?

Apr 23, 2017

Solve the equation for $y = 0$

#### Explanation:

By "solving" a quadratic function, $f \left(x\right) = y$, we mean find the point of $x$ where $y = 0$.

We can factorize the equation to achieve this, $f \left(x\right) = x \left(x - 1\right)$, Solving for 0 we get, $x \left(x - 1\right) = 0$, now the only way that this expression could be 0 is if one if the terms or both are 0, since anything multiplied by 0 is 0. So either $x = 0$ or $x = 1$.