A company determines that its total profit is given by the function P(x)=−4x² +768x−8640. The company makes a profit for those nonnegative values of x for which P(x)>0. The company loses money for those nonnegative values of x for which P(x)<0. Find the values of x for which the company makes a profit and loses money.

The company makes a profit on the Interval:
(Type your answer in interval notation)