Explanation:
formally, there is only one alternative : if not negative, it would be a positive number.
and that would mean
2× -4/5 = x (= a positive number)
2× -4 = 5x (= still a positive number)
-4 = 5x/2 (= still a positive number)
and -4 is definitely not a positive number.
so, it is proven, 2× -4/5 cannot be a positive number, and therefore has to be a negative number.