Is the laptop still under warranty? If so I would suggest contacting their support.
Perform the following steps:
-Remove the battery and Power adapter
-Press and hold the power button for 30-45 seconds (with battery and power still removed)
-Insert just the battery and attempt to boot the laptop.
-Insert just the power adapter (battery removed) and attempt to boot the laptop.
If still unsuccessful: Remember to remove battery and power before removing/installing components
-Remove the power and battery
-Remove the memory modules from the laptop
-Insert just the battery and attempt to start the laptop (you should receive beep error)
-Try inserting just one module of memory and test (swapping modules after each attempt)
-Remove the hard drive, optical drive and test. Do you get any display or message on the screen