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 can follow these steps:

1. **Identify the GCF**: The GCF of the terms \( 5x^2 \) and \( 75x \) is \( 5x \).

2. **Factor out the GCF**:
\[
5x(x + 15) = 0
\]

3. **Set each factor equal to zero**:
- \( 5x = 0 \) leads to \( x = 0 \)
- \( x + 15 = 0 \) leads to \( x = -15 \)

Therefore, the solutions to the equation are \( x = 0 \) and \( x = -15 \).

The correct response is:
**The solutions are x=−15 and x=0.**