The most common way a computer "won't turn on" is when the PC turns on, but nothing displays on the monitor. You'll see lights on the computer case, probably hear fans spinning inside, and maybe even hear noises, but nothing appears on your screen at all.
How to Fix PC Issue: PC is On But There is No Signal – Complete Guide
Try these common solutions in the order we present them:
Test your monitor. Before you get into more complicated and time-consuming troubleshooting with the rest of your computer, you should check to make sure your monitor is working properly.
Turn the monitor on and off while it is disconnected from your computer. If the screen displays diagnostic information of any kind, you know that the screen is turned on and capable of displaying content.