Alienware x51 Wont Start

Called Dell twice to speak to their tech department and twice the call was dropped as they attempted to transfer me.

Desktop wont start and no idea why. The blue light at the end of the power supply comes on when plugged into the wall or a power strip. When initially plugged into the desktop, the light on the power button comes on. When the power button is pushed the fans come on but stop after less than a second.

It doesn't appear to be an issue with the power supply as it seems to be supplying power just fine. But what else could be preventing the computer from staying on? I can't get it to stay on long enough to run a diagnostic.

Alienware x51, service tag<ADMIN NOTE: Service tag removed per privacy policy>, purchased from BestBuy in 2012. Never had any major issues until now. Just need to narrow down what part need to be replaced, if possible. Or should I be looking into buying a new computer?

Any help would be greatly appreciated.