1. Solve the equation using the zero-product property.

-x (5x - 4) = 0

x = 0, 4/5

Step-by-step explanation:

The zero-product property states that if the product of a and b is zero, then either a = 0, b = 0, or both terms equal zero

Here our a term is - x and our b term is (5x - 4) Setting each term equal to zero and solving for x we get - x = 0 → x = 0 5x - 4 = 0 → 5x = 4 → x = 4/5