Question 1197907
Integers  n and n+2


{{{5n+(n+2)^2=-14}}}


{{{5n+n^2+4n+4=-14}}}

{{{n^2+9n=-18}}}

{{{n(n+9)=-18}}}
Looks like 
{{{(-3)(-3+9)=-18}}}
and correspondingly  {{{n=-3}}}


Integers are  -3  and  -1.