-5/6n + 15/ = -45
/6n + 15/ = 9
square both sides to neutralize absolute value
/6n + 15/^2 = 81
36n^2 + 180n + 225 = 81
divide both sides by 9
4n^2 + 20n + 25 = 9
4n^2 + 20n + 16 = 0
divide both sides by 4
n^2 + 5n + 4 = 0
Factorize
(n + 1)(n + 4) = 0
therefore n = -1 or -4
