Solve the quadratic equation 5x2+75x=0 by factoring out the GCF.(1 point)

To solve the quadratic equation \(5x^2 + 75x = 0\) by factoring out the greatest common factor (GCF), we start by factoring out \(5x\):

\[
5x(x + 15) = 0
\]

Setting each factor equal to zero gives us the solutions:

1. \(5x = 0\) \(\Rightarrow x = 0\)
2. \(x + 15 = 0\) \(\Rightarrow x = -15\)

Thus, the solutions to the equation are:

\[
x = 0 \quad \text{and} \quad x = -15
\]

Therefore, the correct response is:

**The solutions are \(x = -15\) and \(x = 0\).** (This corresponds to the option: "The solutions are \(x = -15\) and \(x = 0\).")