1.n^2=/ 0 (I assume that it means n^2 is not equal to 0)
2.n^2+10n=0
|(N+5)|= 5 => (n+5)^2=25 => n=0 or n=-10
#1: "n^2 is not equal to 0" only tells us that n is not equal to 0, but n can equal to 10 (which means that |(N+5)|= 5 is true), and n can equal to 1 (which means that |(N+5)|= 5 is false)
so #1 is insufficient
#2: it tells us that n can only be either 0 or -10. sufficient.