Get a hormone workup from the doctor to see why it is happening, and see a dermatologist or esthetician for some electrolysis.
I have the exact same problem and omg it is so embarrassing. It is caused by having too much testosterone in your system (which is typical with women with PCOS). True you can do electrolysis but it is very expensive. Do not shave because it will come back full force. Facial bleach maybe an answer and if that doesn't work then go to the dermatologist. Good luck!
I believe you may have PCOS. Other symptoms can include rapid weight gain, irregular periods or no periods at all. I recently discovered I have this condition. It was explained by my doctor that your body has too much of the "male hormone" which is why you get hair in weird places and no periods. It's almost like your body thinks you are a man :/