When you have less than zero fucks to give. You literally have depleted all your rollover fucks and used up a certain amount of future fucks as well. The amount you care about something is approaching negative infinity.
A customer walks into a retail establishment with a bitchy complaint. Miko says to her dumb hoe employee, "Kelly you take care of her I give negative fucks, my fucks are used up all the way to next week."
By Jasmin
Negative Fuck
To give so little of a "fuck" that you are actually giving a negative fuck. A lot like giving no fuck at all.
The opposite of giving a fuck, closely related to i don't give a fuck. It is when you care so little about something that the existence of the problem actually pisses you off.
If I hear about Kelly's new haircut again I'm going to lose my shit. I don't give a fuck in fact it's so annoying i give negative fucks.