Question

Solve the equation using the Zero-Product Property.

-6n(10n-8)=0

a. -1/6, -4/5
b. -1/6, 4/5
c. 0, -4/5
d. 0, 4/5

Answer 1

Option (d) is correct.

Using the Zero-Product Property, on the given equation -6n(10n-8)=0 gives n = 0 or
`n=(8)/(10)=(4)/(5)`

Explanation:

Consider the given equation ,
`-6n(10n-8)=0`

Zero- product property states that if the product of two term is zero then either first term is zero or second term is zero

That is
`m.n=0 \Rightarrow m=0\ \text{or} \ n=0`

For the given equation
`-6n(10n-8)=0`

Applying zero-product property, we get,

`-6n(10n-8)=0`

then either -6n = 0 or (10n-8) = 0

⇒ n = 0 or
`n=(8)/(10)=(4)/(5)`

Thus, using the Zero-Product Property, on the given equation -6n(10n-8)=0 gives n = 0 or
`n=(8)/(10)=(4)/(5)`