How to turn on an overheated laptop?

I'm not really sure if it's overheated. I have no idea how to work this out. My laptop was just doing fine until it suddenly turned off while I'm using it. I thought that the charger was unplugged (because i removed the battery and have my charger instead) so i turned it on again and nothing works. The lights indicating that the laptop is on doesn't light up, no sound just nothing. I tried to insert its battery but still the same. How can I fix this? I would love to fix it on my own so that I can save money. Please help me with this. Thank you in advanced.