Many formulas you use are the apex of months of research from the best minds of the last centuries. Every explanation is a deus-ex machina ordeal

You can summarize years or even centuries of research into a some digestible steps with length of less than a average lesson. Months of research does not mean that I need to read your whole research journal from start to finish to understand what research was about and what it reached.

But that often expects that the person explaining a thing knows what they are talking about. I.e. people on high school does not like logarithms because they don't understand what it is for. I would bet that's because teachers themselves have absolutely 0 clue what in essence is a logarithm and why did it came to be. It was centuries of research, which you can summarize with one sentence - to make multiplication as simple as addition with lookup tables, because at 15th century they did not have calculators so multiplication was a hard laborious process. 135+265 is simple. 135*265 is difficult.

Many people have hard won ideas, that doesn't make them valuable though.

Given a flood of results, you look at the most promising results and then figure out how they work, not the other way around.

Almost all successes are built on having knowledge of a desirable outcome first and foremost, rather than the means to obtain them.