Are you sure about that? FWIK all the Fats are soft moddable but not all Slims are, I mean, it's possible to install a CFW an all Fats and early Slim models (softmod). There was another jailbreak for recent models tho, but with less capabilities than CFW...
Edit: ah, I probably got it now what you mean with soldering, your PS3 is over-heating and you want to try to reballing it...