No model, age and if there is a story about drops, water then it sounds like the usual old laptop failure. New motherboard most of the time. But there are other usual that I can't give a nod to yet missing the story.
Do take a meter to the CMOS battery and for the CD2032 you want anything over 3.0V.
Do try the generic reset at http://www.cnet.com/forums/post/30c241c5-dd8b-4d73-b08d-c6e15897fe5f/
Again, the story is light so I can't give further advice.
ASUS laptop, shuts down randomly but power LED stays. At first time I was able to turn it on, then second time couldn't turn it back on as it seemed but after hour it reacted and turned on. Now it won't turn on, but that power LED works always when I push power button.
It looks like it pretends to work, but it doesn't?? (fan not working, laptop warms up, dust cleaned)

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