解决

This matter should be fixed up soon.

They will find a way to get around the problem.

long-term/workable solution

settle (sth) by compromise

seek a solution to a problem/crisis

smooth away/fix/crack a problem; iron out/resolve a problem; tackle an issue/a problem

resolve/tackle/settle a crisis

resolve all doubts and difficulties

resolve grain shortages

settle international disputes

resolve/overcome differences; work/hammer out differences

In the battle they finished off a battalion of the enemy.