If it won't power on, test a different battery and AC adapter. If it still won't power on, it ain't worth fixing.
The only things that are worth fixing or replacing are battery, AC adapter, memory, hard drives, optical drives, cooling fans, or software. Everything else goes back to the customer with "Sorry, we couldn't figure out the exact cause during your no-charge limited 15-minute diagnostic service, and we know you won't want to pay us for another two full-rate billable hours to pin-point exactly what is wrong, only for you to say its too expensive to repair so why even bother paying our stupid diagnostic charge. Thank you for your business."
You can offer to backup the contents of their hard drive to DVD or install it into an external 2.5" HDD USB2.0 enclosure at a very nominal cost, if it will make you feel any better about not going the extra mile.
Don't say nobody tried to warn you.