1. 不溶解的：insolation 曝晒,日照 | insoluble 不溶解的 | inspection certificate 检验证明书

2. 不溶的：insolubility 不溶性 | insoluble 不溶的 | inspection 检查

3. 不能解决的：insolence 傲慢 | insoluble 不能解决的 | insolvency 破产

4. 不能溶解的：insolubility 不可解 | insoluble 不能溶解的 | insolvable 不能偿还的

1. (问题等)不能解决的
An insoluble problem is so difficult that it is impossible to solve.

e.g. I pushed the problem aside; at present it was insoluble...
我把问题抛在一边，目前它还无法解决。
e.g. It was an insoluble dilemma and one which I could do nothing about.
那是个无法解决的两难局面,我无计可施。

2. 不溶解的
If a substance is insoluble, it does not dissolve in a liquid.

e.g. Carotenes are insoluble in water and soluble in oils and fats.
胡萝卜素不溶于水,但可溶于油类和脂肪。

adj

1. without hope of solution

e.g. an insoluble problem

2. (of a substance) incapable of being dissolved

Synonym: indissoluble

3. admitting of no solution or explanation

e.g. an insoluble doubt