正式表达

look for ways to do sth.

例句：We should look for ways to solve these problems efficiently.（我们应该寻找高效解决这些问题的方法。）

search for methods of doing sth.

例句：Scientists are searching for new methods of treating the disease.（科学家们正在寻找治疗这种疾病的新方法。）

seek approaches to doing sth.

例句：The government is seeking practical approaches to improving the education system.（政府正在寻找改善教育系统的实际方法。）

口语化表达

find ways to do sth.

例句：Let's find some ways to make our presentation more interesting.（咱们找些让演示更有趣的方法吧。）

figure out how to do sth.

例句：I need to figure out how to fix this computer.（我得想出修理这台电脑的方法。）