Question

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

Answer 1

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`

`=> x^3 - x^2 = 0`

`=> x^2(x-1) = 0`

`=> x^2 = 0` or `x-1 = 0`

`=> x = 0` or `x = 1`