There is a proper flow for this scenario. Too many people jump over critical steps and end up in bigger poo than when they started.
First, you try to resolve the problem up front. The "B" terminology gets thrown around a lot by people who are bitter, lazy, unhappy, unfulfilled, etc. They are the CC (constant complainers) in the shop/unit that drag everybody down. These will also be the "not in my job description" types, not talking about doing something you are not qualified to do, but rather they just don't want to do it.
OK, so we have identified your antagonist, now you have to evaluate her/his cohorts. Many times, you can recruit from their "support group" and win them over with group mentality.
Once you know who, now you have to figure out what is it that they are doing wrong, and what it takes to get it right. Make sure that you are within the boundaries set by your facility and license, of course. Be inclusive in your evaluation of the situation so that you are interfaced with the program directly, and not just a superior observer.
Then, and most critical, is the sales pitch. It can be a "hard sell" (formal, in a scheduled group meeting) or "soft sell"(during the next lunch break). Depending on your position, you may wish to make management aware of your intentions, but it will be tricky to do this properly, because you could be perceived as a snitch, or a backstabber. It is a fine line, and only your situation can really point to your choice on this.
If at this point, you get eye rolling, more negative comments, and you feel that you cannot follow through with your goals, document very well, DON'T BE SPITEFUL, and meet with your management to discuss how to improve your situation. Refrain from mentioning names. Just focus on the situation at hand. Be sure to offer all of your solutions to the problem. The worst thing you could do is to just unload problems onto a managers desk, and let them deal with it. You could be pulled in to a room with the offender, and a group of people looking at the two of you like you are both in the same boat.
Best of luck.