The correct steps to factor out the GCF and solve the quadratic equation \( 7x^2 = 56x \) are as follows:
- Put the quadratic in standard form: \( 7x^2 - 56x = 0 \)
- Factor out the GCF: \( 7x(x - 8) = 0 \)
- Set each factor equal to zero: \( 7x = 0 \) and \( x - 8 = 0 \)
- The solutions are: \( x = 0 \) and \( x = 8 \)
Therefore, the first response in your list shows the correct solution. If you need to summarize it in one format:
- Put the quadratic in standard form: \( 7x^2 - 56x = 0 \)
- Factor out the GCF: \( 7x(x - 8) = 0 \)
- Set each factor equal to zero: \( 7x = 0 \) and \( x - 8 = 0 \)
- The solutions are: \( x = 0 \) and \( x = 8 \)