Question

Solve equation by factoring.

X3 - 49x = 0

Answer 1

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

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 2

Answer: x=7 or x=-7

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