Factorize using middle term splitting method
8 n square+ 10 n - 1272

8n^2+10n-1272=0

taking 8 common

n^2+5/4n-159 = 0
n^2 - 12n + 53/4n - 12*53/4 = 0

grouping

(n-12)(n+53/4) = 0

n=12 or -53/4