Picard: Hey beardy, dancing science doctor's found a way out of this sticky wicket.
Riker: Nah, too risky, we might die. Let's just all die without trying anything that might make us not die.
Bev: would a vague pep talk do?
Riker: Yes, I'll even tell you something helpful about the ship to further increase our chances of not dying.

@Clavius_42 Without a magical Wesley or Data’s calculations, how else would they get the solution?