Today soldered the r6 part of the motherboard of a japanese gamecube, to make a region switch, i used Tin to solder, its was very hard, and when my father "messed" up the gamecube turned to USA, but with green and then red screen. Then i ve removed the mess, and soldered again, but this time hé didn´t display, only a light from the controller motherboard appeared for 1 sec.
Have a look on the board for a fuse, or check the fuse in the plug. On the board they'll be labelled as FUSE or F1, F2, etc.