I've had troubles with my ASUS G50V a couple of times where it did not turn on.
Two simple suggestions.
1st Option
Unplug.
Take your battery out of slot.
Plug-in directly to laptop (without battery).
- If it works your battery is the issue, if not there's something else.
- My battery has failed twice with this machine so this is probable
2nd Option:
Unplug the battery.
Open the screws in the back.
Take out memory and push it back in.
- This worked for me, when I dropped the laptop once.
- You can YouTube this procedure, if unfamiliar. I suggest searching for "replace RAM in Laptop"