solve x^3-x=0 — step-by-step solution

Let's solve in

ℝ

x^{3} - x = 0

You can write the expression:

x^{3} - x

in factored form:

x \cdot (x^{2} - 1)

Solution found:

x = 0

Let's solve in

ℝ

x^{2} - 1 = 0

Solutions obtained:

x = {-1, 1}

▷Answer: $x = {-1, 0, 1}$