Which of the following tables shows the correct steps to factor out the GCF and solve the quadratic equation 7x2=56x ?(1 point)

Question

Which of the following tables shows the correct steps to factor out the GCF and solve the quadratic equation  7x2=56x ?(1 point)
Responses

Put the quadratic in standard form	7x2+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	7x2−56x=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	x−8=0
Factor out the GCF	No GCF
Set each factor equal to zero	x−8=0
The solutions are	x=8  Put the quadratic in standard form x minus 8 equals 0 Factor out the GCF No GCF Set each factor equal to zero x minus 8 equals 0 The solutions are x equals 8

Put the quadratic in standard form	7x2−56x=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

GPT-4o mini · Answer

To solve the quadratic equation $7x^2 = 56x$, you should first rearrange it into standard form, which is $7x^2 - 56x = 0$. Next, you factor out the greatest common factor (GCF), which is $7x$. This gives us: $$ 7x(x - 8) = 0. $$ Then, you set each factor equal to zero: 1. $7x = 0$ leads to $x = 0$. 2. $x - 8 = 0$ leads to $x = 8$. Therefore, the solutions are $x = 0$ and $x = 8$. The correct response based on these 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 $x = 8$ Please note that if any of the responses are repeated in a similar format with the same answer, they can also be considered correct.