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By itself, solving problems or equations may or may not develop, and much depends on what is meant by the word “develop”.
I think that the maximum benefit is achieved when certain conditions are met:
1) you need to know why you decide and what goal you are achieving
2) in the process of solving, you get into a lost state, when you are emotionally confused and do not know what to do, and then you get out of it.
3) after solving the problem, analyze what you learned in the process and what was useful; what else needs to be worked on; set new goals
Yes, of course. But you need to understand that there is a limit, and soon solving the same type of equations will no longer be useful.
As for inventing it, it's a rather useless idea, because there are countless books, textbooks, and manuals that already have equations on any topic.
Yes, if they make you think, look for a solution. I think this is the main condition for development. Otherwise, it will be similar to memorization and an automaton with a well-known algorithm. This will allow you not to stand still, but to move on to more complex tasks.
I advise you not just to solve equations, since you like it so much, but what is more interesting is to solve problems using equations.
Simple example:
A pen and a notebook together cost 11 rubles.at the same time, a notebook is more expensive than a pen by fifty kopecks. How much do they cost individually?
I wish you success in mastering mathematics. 🙂