The hair could be eliminated by having it lasered off. Do not try to wax it because it will spread just like shaving. The laser is more effective because it deadens the root. If the hair is dark you will have more success. Light hair will not be affected by laser hair removal.
I have been using this treatment for the past 3 years and I have no facial hair anymore. It was a bit pricey and I had to make sacrifices to save the usd 50.00 a month to have this done. In the long run I am free of any facial hair and I also had my underarms and legs lasered.