Answer
$\{0, 1\}$
Work Step by Step
Subtract $x^2$ from both sides.
$x^3-x^2=x^2-x^2$
Simplify.
$x^3-x^2=0$
Factor out $x^2$.
$x^2(x-1)=0$
Use the Zero-Product Property.
$x^2=0$ or $x-1=0$
Solve each equation for $x$.
$x=0$ or $x=1$
Hence, the solution set to the equation is $\{0,1\}$.
