Solve for n:
2 n^2-38 n+180 = 0
The left hand side factors into a product with three terms:
2 (n-10) (n-9) = 0
Divide both sides by 2:
(n-10) (n-9) = 0
Split into two equations:
n-10 = 0 or n-9 = 0
Add 10 to both sides:
n = 10 or n-9 = 0
Add 9 to both sides:
Answer: | n = 10 or n = 9