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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}.**