I'll try to keep this brief...
A month or so back, my Compaq M700 started shutting down after running for a little bit. Researching online, I gathered that it was a cooling problem. The troubleshooting/repair suggestions that I was reading were a bit intimidating and I did nothing for a couple of days. My GF left the battery out one day when re-booting it and we found that with the battery removed, and it running soley on "wall electricity" the shutdown problem went away. That wasn't a concern as we don't really use it "on the run".
Well, now it won't start up using any combination of power sources. The battery light (amber, I think) and the light next to it (green, I think - sleep mode indicator?) on the front of the machine flash rapidly. Opening it up, the Cap Lock, Num Lock and a down arrow indicator lights (all green) stay lit.