Won't start up
Either power or logic board problem. If it chimes but does not boot and the screen lights up then it is a good sign. Will it do anything?
If does nothing try a different power supply first.
Try removing battery and disconnecting power supply, then try to start it without battery and just power supply.
then try charging the battery overnight. If the lights on the battery show any charge after a few hours with it plugged in and the computer turned off, try letting it charge overnight and then try starting it without power supply connected. If none of these thigs help, I would have to look at it.