DISCLAIMER: I DO NOT CLAIM RESPONSIBILITY IF YOUR CAMERA IS DAMAGED OR BROKEN IN THE PROCESS. THIS IS A HIT OR MISS PROJECT. DON'T TRY THIS IF YOUR CAMERA DOESN'T CONNECT EVEN WHEN YOU HOLD DOWN THE SIDE.
UPDATE: I actually, since making this, have broken, then re-bought a new camera. the camera had the same problem, so I looked at the motherboard and, sure enough, a solder connection had come undone. I resoldered it, and the camera works fine now. try that before doing this and probably adding to the problem.
Step 1: Gather materials
a dremel (you could use this as your drill)
a bolt that fits your psp (these are hard to find, I got mine from a packet of spare parts for my drill)
a small screwdriver (I actually used a nail for a screwdriver, because the screws are so small)
sorry I don't have a real picture, I forgot to take one.