Questions & Answers about Vůbec neznám řešení.
The verb here is znát = to know, to be familiar with.
Neznám means I do not know / I am not familiar with.
Czech often distinguishes between:
- vědět = to know a fact, to know information
- znát = to know a person, place, thing, or be familiar with something
In this sentence, řešení is treated as something like the solution as an entity, so znát is natural.
Compare:
- Nevím odpověď. = less natural in standard Czech
- Neznám odpověď. = I don’t know the answer
- Nevím, jak to vyřešit. = I don’t know how to solve it
So neznám řešení is a normal Czech way to say I don’t know the solution.