Question

What is the solution to 2x2+8x=x2-16?

Answer 1

Answer:

  x = -4

Step-by-step explanation:

Subtract x^2-16 from both sides:

  x^2 +8x +16 = 0

  (x +4)^2 = 0 . . factor

  x +4 = 0 . . . . . take the square root

  x = -4

The one real solution is x = -4.

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Additional comment

As you can see from the factoring, the root has multiplicity 2.