Which of the following tables shows the correct steps to factor out the GCF and solve the quadratic equation 7x^2=56x ?(1 point)

Question

Which of the following tables shows the correct steps to factor out the GCF and solve the quadratic equation  7x^2=56x ?(1 point)
Responses

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=−8 and x=0  Put the quadratic in standard form 7 x squared plus 56 x equals 0 Factor out the GCF 7 x left parenthesis x plus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0  and  x plus 8 equals 0 The solutions are x equals negative 8  and  x equals 0

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=8Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0  and  x minus 8 equals 0 The solutions are x equals 0  and  x equals 8

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=−7 and x=8  Put the quadratic in standard form 7 x squared minus 56 x equals 0 Factor out the GCF 7 x left parenthesis x minus 8 right parenthesis equals 0 Set each factor equal to zero 7 x equals 0  and  x minus 8 equals 0 The solutions are x equals negative 7  and  x equals 8

Put the quadratic in standard form	x−8=0
Factor out the GCF	No GCF
Set each factor equal to zero	x−8=0
The solutions are	x=8

GPT-4o mini · Answer

To solve the quadratic equation $ 7x^2 = 56x $, we first need to rearrange it into standard form: 1. **Put the quadratic in standard form**: $$ 7x^2 - 56x = 0 $$ 2. **Factor out the GCF**: $$ 7x(x - 8) = 0 $$ 3. **Set each factor equal to zero**: $$ 7x = 0 \quad \text{and} \quad x - 8 = 0 $$ 4. **The solutions are**: $$ x = 0 \quad \text{and} \quad x = 8 $$ Therefore, the correct response 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 $ This matches the second option from the responses.