Atraeus is solving the quadratic equation by completing the square. 7x2 – 14x + 6 = 0 7x2 – 14x = –6 a(x2 – 2x) = –6 what is the value of a? –14 2 7 6

So we first minus 6 both sides
7x^2-14x=-6
then we have
A(x^2-2x)=-6
what is A?

hmm (this should be painfully obvous, but if not, here are steps)

7x^2-14x=-6
A(x^2-2x)=-6

7x^2-14x=-6=A(x^2-2x)
7x^2-14x=A(x^2-2x)
undistribute 7
7(x^2-2x)=A(x^2-2x)
divide both sides by (x^2-2x)
7=A

A=7