MacBook Pro won't boot, but trackpad clicks

Greetings all!

I recently picked this thing up in a lot of older MacBooks. It was missing the bottom cover, and the battery data cable was snapped, but other than that was in really good shape. However, it would not boot. First thing I tried was disconnecting the battery, since the battery data cable was out of commission. It still didn't boot, but with the battery disconnected, the CPU gets very warm, and if left on long enough, the fans will turn on to cool it down. The trackpad also clicks, and if the power button is held down for a few seconds, it stops clicking, so it seems it is powering on and off. Also, I read somewhere that sometimes disconnecting the trackpad helps, so I tried that, and when I did, the fans went at full tilt nonstop, presumably because the temperature sensor in the trackpad was disconnected. Those are the only signs of life. I've also tried resetting the PRAM and SMC with no luck either. Other than the aforementioned battery data connector, I haven't seen any signs of damage to the logic board. I'll attach a picture of it in case it's any help. I've also tried attaching a monitor in case the internal LCD is damaged, but got no output on that either. Any ideas about what could be wrong with this thing?