Wow, I can't believe that happened, or that it wouldn't have shorted out sooner.
The best way to solder the new one on is to use an iron, and either solder paste or flux. Clean the pad off, and apply the paste to the pads. Put the new cap down, and just heat the pad and lead until the solder paste flows.
Hey Mr.Teal I have several caps that broke off of my boards from Lucko from a rough delivery. I have little to no soldering experience but am willing to buy an iron and get some. Can you please give a little more instruction on how to solder them back on. Also I'm here in Austin so if you think it would be better to take them in somewhere do you have any recommendations?
Oh also in the image above his cap has the blue side on the inside I thought it was supposed to be on the outside.
Edit: You know after posting this I'm realizing I'm asking you to hold my hand again, so with that said any pointers would be appreciated but I'll start reading up on soldering. Thx