To solve the quadratic equation \(7x^2 = 56x\), we need to follow these steps:
1. **Put the quadratic in standard form**:
\[
7x^2 - 56x = 0
\]
2. **Factor out the GCF (Greatest Common Factor)**:
The GCF of \(7x^2\) and \(56x\) is \(7x\):
\[
7x(x - 8) = 0
\]
3. **Set each factor equal to zero**:
\[
7x = 0 \quad \text{and} \quad x - 8 = 0
\]
4. **Solve for \(x\)**:
From \(7x = 0\): \(x = 0\)
From \(x - 8 = 0\): \(x = 8\)
So the correct response showing the right steps is:
- 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 \(x = 8\)
Thus, the second option provided is the correct one.
**Final Answer**:
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 \(x = 8\)