The quadratic equation is 5x^2 + 75x = 0.
We can factor out the greatest common factor, which is 5x:
5x(x + 15) = 0
Setting each factor equal to zero, we get:
5x = 0 or x + 15 = 0
Solving for x in each equation, we find the solutions:
x = 0 or x = -15
Therefore, the correct answer is:
The solutions are x = 0 and x = -15. (The solutions are x equals 0 and x equals negative 15.)