Question

Solve the equation using the Zero-Product Property.

-3n(7n - 5) = 0

a. 0, -5/7
b. -1/3, -5/7
c. -1/3, 5/7
d. 0, 5/7

Answer 1

Choice b is correct answer.

Explanation:

Given equation is :

-3n(7n-5) = 0

Zero-Product Property states:

If a.b = 0 then

a = 0 or b= 0 (or both)

applying Zero-Product Property to given equation, we get

-3n = 0 or 7n-5 = 0

first,we solve

-3n = 0

multiplying by -1/3 to both sides of above equation ,we get

-1/3(-3n) = -1/3(0)

n = 0 which is answer.

secondly, we solve

7n-5 = 0

adding 5to both sides of above equation, we get

7n-5+5 = 0+5

7n = 5

multiplying by 1/7 to both sides of above equation , we get

1/7(7n) = 1/7(5)

n = 5/7 which is answer.

Answer 2

`\boxed{d.\:\:0,(5)/(7)}`

Explanation:

The given equation is
`-3n(7n-5)=0`

By the zero product property, either

`-3n=0` or
`7n-5=0`

This implies that,

`-3n=0` or
`7n=5`

We make n the subject to obtain;

`n=0` or
`n=(5)/(7)`

The correct answer is D.