Questions & Answers about Kad budem našla rešenje, poslaću ti poruku.
Because this sentence has two future actions, and the first one must happen before the second one:
- kad budem našla rešenje = when I find / when I have found the solution
- poslaću ti poruku = I will send you a message
In Serbian, when a future action in a subordinate clause is completed before another future action, Serbian often uses Future II in the subordinate clause. That is what budem našla is.
So the structure is:
- Kad budem našla rešenje, ... = When I have found the solution, ...
- ... poslaću ti poruku. = ... I will send you a message.
In natural English, we usually just say When I find the solution, I'll send you a message.
Budem is the 1st person singular form used in Future II.
The Future II is formed with:
- budem / budeš / bude / budemo / budete / budu
- plus the past participle of the main verb
So here:
- budem našla
This is different from the ordinary present-tense auxiliary sam. You would not say Kad sam našla rešenje if you mean the future.
A useful mini-paradigm:
- budem našao / našla
- budeš našao / našla