i would guess that the motherboard has been damaged, perhaps with excessive current or AC power out ? perhaps the CPU heatsink fan failed and damaged the CPU ?
what was the circumstance while the computer worked well , the last time you used it ?
did you leave it on while plugged into the wall AC power outlet -- perhaps overnight or for a lengthy time period , leaving the laptop unattended ?
do you know if the battery was working well , last time you used the computer ? was the AC ADAPTER WORKING WELL ENOUGH TO FULLY CHARGE THE BATTERY ? PERHAPS THE BATTERY WAS NOT CHARGED up siufficiently to allow power to turn ON THE LAPTOP, THUS W/O POWER FROM THE BATTERY AS A RESULT OF A BAD AC adapter, now the computer has no source .
here is a link to some information you can review to assit you .
http://h10025.www1.hp.com/ewfrf/wc/product?product=3728163&lc=en&cc=ca&dlc=en&lc=en&lang=en&cc=ca&submit=GO
let me know how you make out with these questions. i'd like to help you resolve or come to a conclusion .