Solve the quadratic equation 5x(x+12)=0

To solve the quadratic equation \(5x(x + 12) = 0\) using the Zero Product Property, we set each factor equal to zero:

1. From the factor \(5x = 0\):
\[
x = 0
\]

2. From the factor \(x + 12 = 0\):
\[
x = -12
\]

Therefore, the solution set is:
\[
\{0, -12\}
\]

The correct response from the options given is:

**The solution set is x = {−12, 0}.**