Question 143300
(x+7)(x-9)= 1-2x

Expand the left side first:
x^2-2x-63=1-2x

Shift everything to the left side:
x^2-64=0

Factor the left side:
(x+8)(x-8)=0

This implies x=+/- 8

Check:
(15)(-1)=-15; 1-16=-15; true.
(-1)(-17)=17; 1-(-16)=17; true.