Rewrite the equation by completing the square.
x² + 8x + 12 =10

  (x +4)^2 = 14

Step-by-step explanation:

The constant on the left wants to be the square of half the coefficient of the linear term:

  (8/2)^2 = 16

In order for it to be that value, we need to add 4 to the equation.

  x^2 +8x +12 +4 = 10 +4

  x^2 +8x +16 = 14 . . . . collect terms

  (x +4)^2 = 14 . . . . . . . write as a square