Christian, as Shelton stated could be possible, but if you want a good clean trouble free repair at least get a little flux/rosin cored solder so you will have a clean soldered connection, saves from having to do it twice.
A small amount of rosin core solder can be purchased at most electronics stores and big box stores as well.
Below I will post a tutorial on soldering. Good luck.
I hope this helped you out, if so let me know by pressing the helpful button.
https://www.youtube.com/watch?v=Qps9woUGkvI