Windows 7 Asus G74SX BSOD since purchase

Hi Zakeriah,
you have several different Bugchecks ranging from the above, Bugcheck 50 and Bugcheck 3B. Almost all of them relate to a memory issue and it could be that you have a bad stick of RAM or the RAM settings are out and testing will see which. Even if you bought the RAM from new it's still possible to buy RAM which is faulty.
Windows does have it's own memory testing app but it can often miss errors and the best app for the job is Memtest86. The latest version of which can be found here:
http://www.memtest.org/

To run Memtest86 you need to either burn a copy of it to disk or use a USB stick. If you look down the page you'll eventually find the latest version and it's associated downloads. If your burning to disk choose the pre-compiled iso zip. If your using a USB method then the corresponding download is the auto installer for a USB stick.
Once you have Memtest86 on the media you selected you'll then need to enter your bios and change the boot order so that the machine will boot from either the disk or stick you have Memtest86 on.
Run the test for at least 12hrs if possible unless it becomes clear that there is a issue. If there is a problem with the RAM you'll see the errors pop up in red so you can't miss them.


Just as a side note, if you don't have a spare disk or USB stick to hand you can still test your RAM by removing all RAM apart from one stick. Run on one stick until you see a bsod. Keep changing the stick over and see if you can find one which doesn't bsod.

Edit:
I forgot to ask..... Why didn't you return the machine to the place of purchase or invoke the warranty?