Well if your warranty is already up, then it shouldnt hurt trying this. I had this same problem with my 5660 like a month after I got it. If the screen is backlit and the laptop is loading (Which mine was doing) then all I did was take apart the screen (take off the rubber blockers on the screws, take unscrew, then use a plastic wedge to pull the layers apart). At the bottom you will see a pink and white connector below the screen, mine had come loose, so i just pushed the connector back together again and poof it came back on.
Hope this helps, its a pretty easy fix if this is the problem, but like the others said, it might be something else.
-Indigo