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The phrase 不知⋯⋯好 is a common structure in Chinese that expresses uncertainty or lack of knowledge about how to proceed in a situation, often implying a sense of helplessness or indecision. It can be translated as "not knowing how to..." followed by a suggestion of what might be good or appropriate to do.
In the examples provided:
这件事很复杂，不知如何解决才好。
Translation: "This matter is very complicated; I don't know how to solve it."
Here, the speaker acknowledges the complexity of the situation and expresses uncertainty about the best way to resolve it.
看他紧张得手心都是汗，我也不知说什么好。
Translation: "Seeing him so nervous that his palms are sweaty, I also don't know what to say."
In this case, the speaker feels unsure about how to respond to someone else's anxiety, indicating a desire to provide comfort but lacking the right words.
Overall, 不知⋯⋯好 conveys a sense of being at a loss regarding the next steps or appropriate actions in various contexts. It is often used in conversational Chinese to express empathy or shared confusion.