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 first identify the GCF of the terms.

The GCF of \( 5x^2 \) and \( 75x \) is \( 5x \). We can factor this out:

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

Now, to find the solutions, we set each factor equal to zero:

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

2. \( x + 15 = 0 \):
\[
x = -15
\]

So the solutions to the quadratic equation are \( x = 0 \) and \( x = -15 \).

The correct response is:
**The solutions are \( x = 0 \) and \( x = -15 \).**