Answer:
x = 0 , x = ± 1
Step-by-step explanation:
2x³ - 2x = 0 ← factor out 2x from each term
2x(x² - 1) = 0 ← x² - 1 is a difference of squares
2x(x - 1)(x + 1) = 0
Equate each factor to zero and solve for x
2x = 0 ⇒ x = 0
x - 1 = 0 ⇒ x = 1
x + 1 = 0 ⇒ x = - 1
