x2 + 4x – 32 = 0
To solve the quadratic equation x^2 + 4x - 32 = 0, we can either use factoring, completing the square, or the quadratic formula. In this case, we can factor the given equation.
x^2 + 4x - 32 = (x + 8)(x - 4)
Now, we set each factor to zero and solve for x:
1) x + 8 = 0
x = -8
2) x - 4 = 0
x = 4
So, the solutions are x = -8 and x = 4.