But don't worry, here is the solution.
Let's say you can turn on the laptop but there is nothing at all on the screen. Full blackness.
Well, if u are lucky, than u can remove the GPU from the motherboard. You find it on an extra board which is inserted into a slot. Just like the memory. (see photo how it looks) But is not visible until u remove the heat-sink from the top of it. When u did that, remove the old thermal compound from the chip and from the heat-sink too. Now take your "video-card" and put it in the oven for 15 minutes on 200 °C. No joke. When done, let it cool down. Is hot dammit! ... Now put it back. Before u replace the heat-sink, don't forget to apply new thermal paste on the chip (I use Arctic MX-4). Now reassemble your laptop and with the help of God, it will work again.
After all this u need to find a way to cool your machine, because the small in-built fan will not do the job and after 3-6 month your GPU will die again. (Than u have to bake it again)
Here is what I do. Maybe you can see on the photo that I opened (drastic cut, barbarian style) the bottom of the laptop so I can access the GPU without taking apart the whole machine. Of course I had to open up large enough so I can easily remove the heatsink with the copper pipes, which are in the way. I am using a small battery-fan to cool the "critical" engine and it really works well. Sometimes I have to do a little dusting, but not a problem. To fit the fan under the laptop, I built a wooden frame which is serving as a mini computer desk. Very handy, made from scratch. This is how I do active cooling :)
