It's 100% correct but I think you need to add "این" to your sentence before the word "مشکل". So your sentence will be: میخواهم که از این مشکل سر در بیاورم و باهم حلش کنیم You can also use the word "تا" instead on "و" So the sentence will be: میخواهم که از این مشکل سر در بیاورم تا باهم حلش کنیم

I want to know the problem and solve it together ))

Yes, Fluency is OK. it means: I want to understand the problem and (I want to) solve it with each other.

This sentence is influintly correct as a native speaker saying )