Quoted from wylcot:So I've changed that cap for a 10uF 50v, but still nothing.
Is that 7805 the next in line ??
measure resistance from 5v / 12v to ground. Is it still shorted? I think there are at least a couple 4.7uF tantalums. If one is bad, i wouldn't trust any of the others and would be cutting them out one by one looking for the short to clear. Careful where you are probing at out of the game as I am pretty sure this board has some isolated ground returns for the regulator vs analogue stuff.
The potential energy in the tantalum capacitors is a bit scary. Once they go runaway and the power supply does not shut down you can get a fireball shooting across the room. I think most repair people hate those tantalums even more than electrolytic. Be careful powering up this board if it is still shorted, wear eye protection.
Is there any evidence of that capacitor pinging off the backglass? They can fly off with some good force when they explode.