Hello, I am having a similar problem with my C610, but, the only difference is that mine won't boot period.
None of the LED lights shine and I have tried booting with the battery out as suggested but no sign of life at all.
What's the problem?
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If you're getting absolutely no activity, with or without the battery installed, or just the battery itself, it would sound as if you've got a bad motherboard. Repair costs will probably be enough that you will just want to get a new laptop. Sorry.