Find all integers such that 3n+4/n+2 is also an integer.

Answer 1

(3n+4)/(n+2) = 3 - 2/(n+2)

So, if
n=0, that's 3 - 2/2 = 2
n = -1, it's 3 - 2/(-1) = 4

If n is any other value, the fraction is not an integer.