Sounds like a possible PSU issue. [br]
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Have you removed the battery and plugged it in to see if the situation changes?[br]
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''If'' you are certain that your charger is fine, and ''if'' you are certain your plug in/power outlet is fine, and there is no response with swapping batteries... sounds like a PSU issue.[br]
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You could potentially fix yourself, but that would void your warranty. I would advise a computer repair shop