When removing nail polish from any kind of fiber make sure not to use nail polish remover as it can bleach the color out of your fabric or it may even cause the stain to spread.
Try this common solvent: hydrogen peroxide
You can also try backing soda with a toothbrush and a damp cloth.
Other options are hairspray, rubbing alcohol, or WD40. These are a little more abrasive so make sure you test on a section of the carpet that is not visible to make sure it doesn’t remove any color.
If these solutions do not work then give us a call. We have industrial grade solutions that usually do the trick.