Answer: x = -1 and x = -5.
Explanation:
The numbers that satisfy this are 1 and 5.
So, we can rewrite the equation as: (x + 1)(x + 5) = 0
Now, we can set each factor equal to 0 and solve for x: x + 1 = 0 or x + 5 = 0
Solving these equations, we find: x = -1 or x = -5
Therefore, the solutions to the quadratic equation x^2 + 5 = -5x are x = -1 and x = -5.