To solve the quadratic equation \( 7x^2 = 56x \), we should first rearrange it into standard form, factor out the GCF, and then set each factor equal to zero.
Let's break it down step by step:
1. **Put the quadratic in standard form**:
\[
7x^2 - 56x = 0
\]
2. **Factor out the GCF**:
The GCF here is \( 7x \):
\[
7x(x - 8) = 0
\]
3. **Set each factor equal to zero**:
\[
7x = 0 \quad \text{and} \quad x - 8 = 0
\]
4. **The solutions are**:
\[
x = 0 \quad \text{and} \quad x = 8
\]
This matches with the second option you provided, which has the complete steps laid out properly:
- **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 correct table corresponds to this option.