Thanks to the wonderful people at Tom's Hardware, my computer woes were solved when it was determined that the reason my computer wasn't turning on was because the CPU and mobo had died (actually, shorted by the looks of them). I just finished replacing them, and the computer powers on as it should... but now I get no video display. My monitor is blank. New problem.
Now, I just replaced the CPU, mobo, and added a brand new stick of 2GB RAM to the 2GB I already had. I took out the old stick just to make sure it wasn't a RAM issue, but that didn't work. I've moved the RAM to every slot, checked to make sure the RAM is compatible with the mobo (supports up to 8GB of DDR2-1066 and I have 4GB of DDR2-800), and in the right slots. I've reset the CMOS. I have plugged the monitor into the mobo's onboard video. I've reseated the GPU (GeForce 7600GT), I have tried plugging in a slightly more powerful PSU. Nothing has worked.
The monitor has power because it displays that there is no signal, making me think it's not the monitor. I don't think it's the RAM. I'm almost certain it's not the CPU or mobo, or the PSU. And, since the monitor doesn't receive a signal from either my GPU or the onboard video, it makes me think it's not the GPU either, because if it were the monitor would have received a signal from the onboard video (unless there's something wrong with that too, which is possible but unlikely).
Leaving only one thing that I can think of that I haven't tried, which is simply that the cables going from the computer to the monitor are somehow all of a sudden faulty.
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