Are you filing the LLC income on your individual return (pass thru income ) or on a business return (partnership, S corp, C corp)?
On individual state return you usually only pay tax on the state portion (ratio) of your total income ($0 in your case). It works this way in most states. I'm not specifically familiar with NC & GA, but a quick review of the NC form shows NC uses that method. So, your NC tax is 0. I suspect GA is the similar.
It sounds like you may need a tax professional.
