Question 93704
x^2+2x=8

x^2 +2x -8 = 0 

This can be factorised using middle term factorisation.

x^2 +4x - 2x -8 = 0

==> x(x + 4) -2(x + 4) = 0   (taking common factor)

==> (x-2) (x+4) = 0 

==> x-2 = 0 

==> x-2+ 2=0 +2

==> x= 2

now consider x +4 = 0 

           ==> x + 4-4 = 0-4

           ==> x = -4

 Hence  x = 2 and x = -4  is the solution for the equation.