Question 486233
{{{(x+7)(x-1)=(x+1)^2}}}

you should expand the brackets

{{{x(x-1)+7(x-1)=x^2+2x+1}}}

{{{x^2-x+7x-7=x^2+2x+1}}}
re arrange the terms

{{{x^2-x^2+6x-2x-8=0}}}

4x-8=0
4x=8
x=2