to solve a problem 解决问题
to solve a mystery/puzzle 揭开秘密／谜底
Just calm down - shouting won't solve anything! 冷静下来——大叫大嚷并不能解决任何问题！
This strategy could cause more problems than it solves. 这一策略引发的问题可能会比解决的还多。
The police are still no nearer to solving the crime. 警方在侦破此案上依然没有取得任何进展。