Gateway Laptop Tablet WON'T Turn On

Hello,

I have a 2006 Tablet Pc, it is a Gateway Laptop. I had it in for service 3 times prior for this same issue! The computer suddenly shuts off for no reason. Then there are NO lights. It won't turn back on even with the removal of the power supply, battery, hold button for 30 seconds, replace power supply techniques...I tried them in all variations.

Before I spend a bunch of money on it, does anyone know what would cause this repeated shutdown with no ability to power it back up? I have exhausted my inquiries with Gateway, no one will tell me what the problem is with it and they even called me a liar when I told them that it had been serviced 3 times prior for the same issue, I had to get my records out with the actual service order requests, and was then told to pay $200.00 to have them look at it.