Chewing gum on the carpet is a serious situation.Don't be angry with your kids,it often happens especially when they are too young to understand what they did.Be sure that it is not impossible to handle ith this stain.As each other spot this one has its weak places.In this case you can use a blunt knife to remove the residue of the chewing gum.Be careful and watch out not to make a hole in the carpet or damage a part of its surface.After that use an old tip: take a piece of newspaper and turn on the iron.Put the nespaper over the spot and iron careful.This action will melt the gum and you will remove it very easy.Wait a few seconds the place to get cold and use a wet cloth to remove the spot.