Remove the bezel at the top of the keyboard where the power button is. Under it will be a board that has the power button along with the lights for Num Lock, Caps Lock, and Scroll Lock. There should be three screws that hold this board on, one of which will go through the laptop casing/bezel.
Push down on the board just to the right of this screw, and above the large silver screw that holds the processor heat sink on (this does not connect to the power board in any way). The laptop should power on now. When you release pressure, the num lock light should shut off.
The only fix I’ve found that works so far is to add a few small washers to the screw on the right that holds the board on.I don’t know what the cause of this issue is, but I suspect the heat pipes that run under this board are the cause.