Factor and see what happens.
we first need factors of the coefficient of , here, that's easy, the only integer factors of 2 are 2 and 1 (technically and , but whatever).
so we set up our brackets and place the factors in the first position:
now we need to find two numbers, a and b, so that when multiplied they give -1, so that when we expand the brackets, we get back the middle term -x.
here, again, the numbers are easy, 1 and -1 are out numbers, now we just have to figure out what position to put them in. you can do trial and error, but you really want to be able to set them up so that
after a little consideration, and are found to be the correct choices. thus we have: