I get a broken flip 6 yesterday with the same problem. I took out the board and find out that all caps near the battery was shorten to ground. There was a line of 4 smd caps and the third one was short to ground. It was also slightly discoloured. Im removed from the board. I dont have any replacement for this cap and reassembled the flip an now its working great. I also ripped the bluetooth antenna and replaced it with a nintendo ds antenna. I hope this helps