Question

1. Solve the equation using the zero-product property.
-x(5x – 4) = 0

Answer 1

x = 0, 4/5

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