I just did open a Gateway ZX4270-MW31. The back stand it's screwed to the back plate from the inside, so in this model it is after the back cover is removed that you can access the screws of it, but it is an unnecesary step.
First you pull carefully the bottom rubber feet, with your fingers, they DO NOT come off completely, just enough to see 1 phillips standard screw under each one, then you must unclip the plastic clips all around de back case. The back panel (has a square type plastic clip that is easy to break. So you have to separate the front panel/display bezel, as they have a little "tongue" that snaps inside the squares from the back panel.
Also, The motherboard has all the ports connections solded in place, both the side usb ports and the back ones too, so there is no need to work your way around them, The whole thing is mounted con the display metal part itself; but be advised that it is better to start unclipping the clips from the bottom up, then the left side first then the right side. These left side clips differ lighty and are easier to unclip. The whole bezel is very soft plastic, so you have to be extremelly carefull, to avoid nicks breaks and scratches. On the right side is the dvd drive tray and is it not attached to the back panel, but the tray door somehow gets in the way on its edges, so b carefull to avoid a snag.
When the back panel comes off. It is very much a straight foward procedure, from then on...way easier than a laptop...