Here is my quick fix for breakouts: toothpaste. Not the gel type, the plain white paste, mint flavored. I suspect it has something to do with the mint. You just dab it on and leave it. You'll feel the tingling and know it's working. Once the tingling subsides feel free to wash it off, but you don't need to. Sometimes I put it on before bed and leave it till morning. It's up to you. I notice a difference in the size and painfulness of the breakouts immediately. Usually one application will suffice, but it might take two.
Give it a try and let me know if it works for you.