Welcome to the Community. Is there a light on the AC adapter ( Charger ) when connected to the system? Do you hear any beep codes. There are 4 LEDs in front of your system, ( Power light, Wifi light, hard drive light, battery light ) which one of them are off/on/blinking ? Remove the battery and the ac adapter, press and hold the power button for 15 seconds, and connect the AC adapter alone to check if it powers on.
If it still does not power on, you will need to start reseating a few components on your computer, like the memory, hard drive, wireless cards, optical drive. Use the below link for help.