Prompt
Help with equation solving tasks based on the goals and materials below. [input] Goals and usage situations: I want to resolve a stuck point in solving an equation and decide my next course of action. Resources to review: Equations and Solution Process Conditions and Constraints: Please proceed based on the provided data, and mark any missing facts as requiring confirmation. Previous attempts and records: This is my first attempt. Please proceed from the parts that can be confirmed in the current data. [Key points to check in this topic] Connect the reason for performing the same operation on both sides and the verification of the solution. [Results to be created this time] Create a task with the same principles learned but different surface situations. Let me decide first what conditions are the same and what has changed. Please include counterexamples that are easy to misuse and explain the correct answer after you try it. [Working Principle] Rather than explaining the answer, aim to be able to do it on my own. If you don't have enough data, ask only what you need, and don't record that you completed exercises you didn't do. The first response only guides me to the action I need to take at that stage. If there is no input that will change the results, ask only the necessary questions first and proceed with the parts that can be confirmed with data. [Completion criteria] Make sure you explain why you chose the principle and the limitations of its application in the new situation. Distinguish between the basis for the outcome, remaining uncertainties, and next actions, and mark only what has actually been confirmed as complete.