Help my Thiels broke - not sure what to do

I have a pair of Thiel CS2.4 's. I noticed this morning things weren't right. Actually things have been a little off for a bit. Well the woofer in one cabinets is out. I took the back plate off where the connectors are and lo and behold where the wire is soldered on to the terminal one lead is snapped off. So I played music to the speaker and touched the lead back and boom the woof starts working. Now the question is how should I go about dealing with this. I still have the warranty but I don't want to have to ship the speaker back just to solder one wire. I could try soldering it myself but I've only soldered a few times in my life, and I'm not sure what solder they use at Thiel and I'd hate to make things worse, but how bad can I really screw it up if I practice first? Wait don't answer that.