Argh, I'm sorry to hear that you're having problems with your ROG machine and have been there myself with another (non Asus) laptop in the past which turned into a complete nightmare after (funnily enough) it had a GPU failure, but eventually got fixed in the end and it lived a full, reliable life after that.
Not to sound patronising here but all devices whether they're mechanical or electrical, can fail at any time however - and it's not really fair to put all the blame on Asus as your laptop contains components that are not actually manufactured by them; they just assembled them together so it could be down to a multitude of reasons that your machine has stopped working. This could quite as easily happen to an Alienware, MSI or Apple laptop and as I work in IT Support I see it all of the time; brand new and expensive devices packing in after only a few days of use, so it's not that rare and rather unlucky for you, unfortunately.
So how long have you had the laptop, and what sort of experience are you having from contacting Asus support? If you've only had it a couple of months or so, you'll need to properly throw your toys out of the pram with Amazon to make them listen and replace it. Get on the phone to Asus/Amazon and rant at them. Get on twitter and tweet something about amazon and Asus customer support being crap and that they're not listening to you. In my experience, companies only pay attention when their name or products are blackened publicly, so it might work for you.
Asus ROG G751JT-T7115H
17.3" IPS, Intel i7-4720HQ, 16Gb RAM, NVidia GeForce GTX970m, 256Gb M.2 SSD + 1Tb SSHD