Question

Solve 3x2−15x=0
by factoring out the greatest common factor. Enter your solutions as an integer.(2 points)
x =


x=

Answer 1

To solve the equation \( 3x^2 - 15x = 0 \) by factoring out the greatest common factor (GCF), follow these steps:

1. Identify the GCF of the terms \( 3x^2 \) and \( -15x \). The GCF is \( 3x \).

2. Factor out \( 3x \) from the equation:
\[
3x(x - 5) = 0
\]

3. Set each factor equal to zero:
\[
3x = 0 \quad \text{or} \quad x - 5 = 0
\]

4. Solve for \( x \):
- From \( 3x = 0 \):
\[
x = 0
\]
- From \( x - 5 = 0 \):
\[
x = 5
\]

Thus, the solutions are:
- \( x = 0 \)
- \( x = 5 \)

So the final answers are:

x = 0

x = 5