I'm not sure what "Factored by Graphing" means....but...if you're trying to find the solutions to this, we have
2x^2+2x-12=0 divide through by 2
x^2 + x - 6 = 0 factor
(x + 3) (x - 2) =0
Setting each factor to 0 we have
x + 3= 0 → x = -3
x - 2 = 0 → x = 2