You have two choices. The minimum possible cost to operate your bat factory for a day is $390, and there are two quantities of bats that both cost that much.
One possibility: Produce no bats at all per day. Zero. Nada. None. Cost = 0.06(0)² - 7.2(0) + 390 = $390 per day.
The other choice: Produce 120 bats per day. Cost = 0.06(120²) - 7.2(120) + 390 = 0.06(14,400) - 7.2(120) + 390 = 864 - 864 + 390 = $390 per day.
If you produce any other number of bats in a day ... more than zero but not 120 ... then it will cost you more than $390 to operate the factory that day.