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 GCF, we first identify the greatest common factor (GCF) of the two terms, which is \( 5x \).

We can factor it out:

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

Now, we can set each factor equal to zero:

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

Thus, the solutions to the equation are:

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

So, the correct response is:

The solutions are \( x = -15 \) and \( x = 0 \).