Some years ago, back in the late 60s, I had my first civilian job at a TV station which had replaced most of their technical (engineering) staff. After just a couple of weeks of training I found myself on the Saturday evening shift and almost everything in the control room was not working properly. I was one of three persons in the building; a receptionist and a radio disk jockey were the others so zero help there. I desperately called every number I had: chief engineer, CEO (former chief engineer), and several others. But had no luck contacting any of them: just left messages. I was on my own.
By the time a couple of the ones that I had shown up, I had solved the problem.
How?
Well, a basic knowledge did help. I did understand how the place functioned, if not in all the particulars, then in general. But I tackled it. And kept at it until I found a rack full of tube equipment needed a bit of a nudge to re-establish a loose contact. A footprint, at about waste level on the next rack over, helped. That rack of tube chassis was the station's sync. generator and the signals generated there went to almost everything else to provide the timing needed.
What I learned and what I took with me for the remainder of my 45+ year life as a TV engineer was one word:
PERSISTENCE!
The first thing you MUST have when confronted with a problem, electronic or not, is persistence. You need to keep at it until it is solved.
Sometimes "keeping at it" is challenging. And a number of other techniques can be employed to do so. Ask for help from others (that was my first thought that day). Study what you know about the problem, no matter how little that may be.
Something I learned from a lecture some time after that incident was to try to mentally put the problem in a BOX where you know everything going into that box is OK and what is coming out is not. Then try to divide that box in half (or some fractions) in a manner where there is only one or just a few things (signals in electronics) that cross from one half to the other half. Then test those things (signals) to see if one or more is bad (problem is in first half) or if all are good (problem is in second half). Then divide the bad half again and repeat until you are down to THE bad part.
I have used other techniques to "keep at it". Sometimes when I was stumped with a problem in a machine where just the schematics took up a complete 3" size, three ring binder, I would look at one of those schematic sheets (14"x22" or larger) and make my best guess as to which part it was. Then I would replace that part and see if it did any good. That, at least, eliminated one possibility. And I kept at it.
Sometimes a break or lunch helped. I once got an insight while ordering a sandwich down the street. After eating I tried that hunch and sure enough, that was it. My brain apparently kept working on the problem while I was trying to address my stomach's needs.
But, IMHO, it all comes back to that one work,
PERSISTENCE!