Laptop won't power on without battery
I have the Dell Adamo laptop. My Adapter broke and I fixed it and it worked for a while but then broke again. When I repaired the adapter I think I crossed the wires and when I plugged it back into the laptop I think it damaged something because now the computer will not power on. I brought a brand new adapter but it still will not power on when the battery is disconnected. If I connect the battery it boots just fine.
So in summary:
1. Power Adapter works
2. Computer powers on with battery and everything works fine. Boots into Windows etc.
3. Once battery is dead or disconnected, laptop will not power on.
4. I think something is damaged on the motherboard preventing it from charging the battery and powering the computer.
I was wondering how I can repair this on the motherboard. Everything is together so I can't just buy another board for cheap. I was hoping someone could look at the board and tell me what they think is damaged.
Here is a picture of the motherboard. The power adapter is part 932CA.