This question can be solved through trial and error method looking at the closest possibilities.
p(x)= (x^2 + x+2)- ( 2x^2 +2(-2x -4))
= (x^2 + x+2) - (2x^2 -4x -8) ( simplify inner brackets)
if x+2=0, x=(-2) ; p(x)= (-2)
( (-2)^2 + (-2)+2 ) - (2X(-2)^2 - 4X(-2) - 8) ( solve brackets using BODMAS rule)
(4+0) - (2X2 + 8-8)
4-4
= 0
therefore x= (-2)