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I agree with your answers:
1. Did the solution work? - When you are doing an experiment, or each time you are trying to solve something, obviously you want to reach the correct answer and finish what you've started properly. If your solution didn't work, it means it was the wrong solution and you have to start all over again and reach a better solution.

2. What went right or wrong? - If your solution was good, you would still want to understand what it was you did that resulted in a proper solution. On the other hand, you want to understand what went wrong and why you got the wrong answer/solution so that you can recreate the experiment and change the wrong variable so as to reach the correct solution.