Solve equation by factoring.

X3 - 49x = 0

x = - 7, x = 0, x = 7

Step-by-step explanation:

Given

x³ - 49x = 0 ← factor out x from each term

x (x² - 49) = 0 ← x² - 49 is a difference of squares, thus

x (x - 7) (x + 7) = 0

Equate each factor to zero and solve for x

x = 0

x - 7 = 0 ⇒ x = 7

x + 7 = 0 ⇒ x = - 7

Answer: x=7 or x=-7

x (x+7) (x-7) = 0