You can put this solution on YOUR website! --Another "Advanced Trinomial Factoring". See my own website, or send me an Email, as I have mentioned on several of my last postings!!
Try this:
(2x____)(2x____)
Last times last has to be 3*1 or 1*3, and in this case, it doesn't really matter what order you use.
(2x+3)(2x+1)
Notice that the outer times outer and inner times inner give you 2x + 6x = 8x, which is the correct middle term.