Do i add the x^2 and 2x to the other side? If so what would i do with the x^4?
Be careful here with like terms. If you're adding x^2 and x^2, you shouldn't be getting x^4. With that sorted out, you should be able to factor by one of the methods suggested in your book, though I agree with stapel_eliz--other than "GCF" I've never seen that terminology before.