https://phet.colorado.edu/sims/html/wave-on-a-string/latest/wave-on-a-string_en.html
i guess a standing wave is not always the default outcome if we assume there are no reflections?
since most of my problem is around 60 hz i currently tend to get a subwoofer and some smaller speakers
Before you buy, please be aware that a subwoofer may not solve your problem! Because you are experiencing major lack of 60 Hz, 120 Hz, etc, and then if you move to a different position in the room those frequencies have huge bumps, this really is a textbook example of destructive and constructive interference of sound waves (i.e. "peaks and nulls"). But keep in mind that these interference patterns will also happen at other frequencies, too, and the pattern of peaks and nulls will be different for other frequencies. Adding a subwoofer may change the location of where those peaks and nulls are located in your room, so maybe it will help you for 60 Hz at your listening position. But then you will almost certainly be getting other peaks and nulls from other frequencies in that listening position.
If you are adding a subwoofer because you feel it can get louder to compensate for missing 60 Hz, that will also cause problems in other frequencies where your listening position may have peaks, because those frequencies will also become proportionally louder, too. These constructive and destructive interference patterns will depend only on position and frequency - it does not depend on the amplitude (i.e. the loudness) of the sound waves.
I have limited experience with actually solving these issues, but my understanding is that there are three tools to help, just the same as what other people already replied to you =) (1) adjust speakers and listening position to minimize the peaks and nulls of most bass frequencies, (2) use acoustic absorbers to reduce how large the peaks and nulls will be, (3) multiple subwoofers. I think all three of these would ideally be done with measurements to see the improvements.
Cheers!