Without knowing the details of your context, it sounds to me like 'resolve' might be better. It has the sense of settling a dispute by bringingdifferent parties to an agreement.
As a considerale generalization, I'd consider 'solve' if your focus is on the problem, and 'resolve' if your focus is on the people who disagree about the problem.
"The first thing to note about this account is that, whereas the texts quoted at the beginning of this section said that the state of mental perturbation was induced by the anomalies the future Skeptic found in things, we are now told that this state is the result of the holding of beliefs. This is not necessarily problematic, since it may