Question

Solve the equation using the Zero-Product Property.

-5n(4n + 1) = 0

Answer 1

n=0 or n=-1/4

Explanation:

Given equation is

-5n(4n+1)=0

The Zero-Product Property states that

If x.y=0 then x=0 or y=0 or both.

Applying The Zero-Product Property to given equation ,we get

-5n=0 or 4n+1=0

Firstly, solve

-5n=0

n=0

Secondly, solve

4n+1=0

adding -1 to both sides of equation,we get

4n+1-1=-1

4n=-1

dividing by 4 to both sides,we get

4n/4=-1/4

n=-1/4

Hence, the solution is n=0 or n=-1/4

Answer 2

The final answers are n = 0 or n = -1/4.

Explanation:

Given the equation is -5n(4n + 1) = 0.

The Zero-Product property says "if x*y=0, then x=0 or n=0 or both."

we have -5n(4n + 1) = 0.

We know -5 is not equal to 0.

It means n = 0 or 4n+1 = 0.

n = 0 or 4n = -1.

n = 0 or n = -1/4

So, final answers are n = 0 or n = -1/4.