How do you solve $x^{3} = x^{2}$ $x^3=x^2$ ?

Question

1701 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-12-27T01:51:03

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

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

$\Rightarrow x^{3} - x^{2} = 0$ $=> x^3 - x^2 = 0$

$\Rightarrow x^{2} (x - 1) = 0$ $=> x^2(x-1) = 0$

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

$\Rightarrow x = 0$ $=> x = 0$ or $x = 1$ $x = 1$

How do you solve x3=x2x^3=x^2?