This question already has an answer here:
- Division in $1$ variable 2 answers
Find all positive integers n such that $n + 3$ divides $n^2 + 27$.
I am quite stuck on how to conclusively show all of the solutions. I tried look at the intersections of $y = n^2 + 27$ and $f = x(n + 3)$ where is $x$ is some number. But it still involves setting $x$ values. Any help would be much appreciated.