How do you find integer solutions to x/(y + z) + y/(x + z) + z/(x + y) = 4?

Previous discussion (with non-mangled title): https://news.ycombinator.com/item?id=14943528

perhaps one should link to this thread instead https://mathoverflow.net/questions/227713/estimating-the-siz... ? When it comes to Math, the quality of discussion on Quora is usually much lower comparing to on Mathoverflow or artsofproblemsolving

Well it depends on what you mean by quality. On Quora the discussion is meant for the general public, and terms like diophantine equations are defined in common language before delving into their mathematical details. While mathoverflow is for mathematicians, for a layman it's mostly gibberish. So imho it's unfair to even compare the two, they're different things and both have their place.

The Quora post is _much_ better written than this Math Overflow thread.

Again, "and" should be "+" two more times in the title.

Yes. Became very confused attempting to solve for all three fractions = 4.