Finding combination of numbers that net to zero

[goldenhearttx]

I have a list with about 16k lines. I need to find smaller amounts of data than the whole set that will net to zero. I've looked at solver and even goal seek but neither seems to fit my needs. Solver i think would work great if it worked on more than a few hundred lines of data, but I have thousands of lines, and I've given up on lucking into it.
I'm pretty good in excel, but not good in VBA. Not even sure i know how to get into VBA within excel actually :P
I didn't see any relatively recent posts with this kind of question, but apologize if I missed it.

Any help would be greatly appreciated!