# How do you solve x^3=x^2?

Dec 27, 2015

Move all nonzero terms to one side and factor to find that the solutions are
$x = 0$ or $x = 1$

#### Explanation:

${x}^{3} = {x}^{2}$

$\implies {x}^{3} - {x}^{2} = 0$

$\implies {x}^{2} \left(x - 1\right) = 0$

$\implies {x}^{2} = 0$ or $x - 1 = 0$

$\implies x = 0$ or $x = 1$