|I had the same kind of problem with my acer 5920g.|
Are you sure it is not a bad connection in the LCD backlight power cable?
To make sure do the following: When you have turned on the computer press Fn + F6 repeatedly if you get a picture on the screen then it's probably about the backlight power cable and if not, it still might be it.
If you can get a hold of an external monitor you could try to hook it up and press Fn + F5 while running your laptop. If you get a picture on the external monitor then it is definately a problem with the LCD or the backlight.
You can also try to look at the screen while shining a flashlight right into it. If you can see a faint image then it is definately a problem with the backlight.
Now I don't know what model your laptop is so the next instructions might not be completely accurate. If your computer is not 5920g then consult the service manual for your model and try to do the following:
Disassmble the LCD monitor front casing. (remove the screws and then gently pull out the clips that still hold it in place) Now you should some cables going through the hinges. One of those is the backilght power cable and since it's under a lot of stress because the hinge gets turned back and forth it might have a bad connection. You can test this by trying to move the cable into different positions and again switching the backlight on and of by repeatedly pressing FN + F6. You can even fix it temporarily like this but on the long run I recommend that you replace the cable if the problem is in it.
It's also possible that the cable is fine but you need to replace the backlight.
I hope this helps!