Respuesta :

Answer:

x=−1 or x=1 or x=7

Step-by-step explanation:

Step 1: Factor left side of equation.

(x+1)(x−1)(x−7)=0

Step 2: Set factors equal to 0.

x+1=0 or x−1=0 or x−7=0  

x=−1 or x=1 or x=7

Hope this helps-

Sleepy~

Answer:

  • x = {-1, 1, 7}

Step-by-step explanation:

Solving for x

  • x^3 - 7x^2 - x + 7 = 0
  • (x^3 - x) - (7x^2 - 7) = 0
  • x(x^2 - 1) - 7(x^2 - 1) = 0
  • (x - 7)(x^2 - 1) = 0
  • (x - 7) (x + 1) (x - 1) = 0
  1. x - 7 = 0 ⇒ x = 7
  2. x + 1 = 0 ⇒ x = -1
  3. x - 1 = 0 ⇒ x = 1