Respuesta :

Answer:

x = 0

Easy peasy! If the answer is 0 from that algebraic expression then you can automatically say that the variable x = 0 because you can't add, multiply, or divide any number outside of 0 to get 0. I hope that this helps

Answer:

  • 0, 7, ± i

Step-by-step explanation:

Solving for x

  • - 2x^5 + 14x^4 - 2x^3 + 14x^2=0
  • x^5 - 7x^4 + x^3 - 7x^2 = 0
  • x^2 ( x^3 - 7x^2 + x - 7) = 0
  • x^2( x^2(x - 7) + (x - 7)) = 0
  • x^2(x^2 + 1)(x - 7) = 0
  1. x^2 = 0 ⇒ x = 0
  2. x^2 + 1 = 0 ⇒ x^2 = -1 ⇒ x = ± i
  3. x - 7 = 0 ⇒ x = 7