Answer :
Move all terms to one side
x^2 + 14x + 17 + 96 = 0
Simplify x^2 + 14x + 17 + 96 to x^2 + 14x + 113
x^2 + 14x + 133 = 0
Use the Quadratic Formula
x = -14 + 16i/2, -14 - 16i/2
Simplify solutions
x = -7 + 8i, -7 - 8i
Move all terms to one side
x^2 + 14x + 17 + 96 = 0
Simplify x^2 + 14x + 17 + 96 to x^2 + 14x + 113
x^2 + 14x + 133 = 0
Use the Quadratic Formula
x = -14 + 16i/2, -14 - 16i/2
Simplify solutions
x = -7 + 8i, -7 - 8i