Note that an extension applies to the time you have to file your returns; not to pay any tax due. Interest and penalties may still apply to amounts owed even if you extend your return.
Helpful Form & Instructions to Extend Federal Returns
Form 4868– (Individual Returns) Application for Automatic Extension of Time to File U.S. Individual Income Tax Return
Helpful Form & Instructions to Extend North Carolina Returns
D-410(Individual Returns) Application for Extension for Filing Individual Income Tax Return