Use the​ zero-product property to solve the following equation.negative 9 n left parenthesis 4 n minus 1 right parenthesisequals0Question content area bottomPart 1n​ =enter your response here ​(Simplify your answer. Use a comma to separate answers as​ needed.)

Answer 1

To solve the equation \(-9n(4n - 1) = 0\) using the zero-product property, we set each factor equal to zero.

The equation consists of two factors:

1. \(-9n\)
2. \(4n - 1\)

Setting each factor equal to zero gives us:

1. \(-9n = 0\)
2. \(4n - 1 = 0\)

Solving the first factor:

\[ -9n = 0 \ n = 0 \]

Solving the second factor:

\[ 4n - 1 = 0 \ 4n = 1 \ n = \frac{1}{4} \]

Final solution:

The solutions to the equation are: \[ n = 0, \frac{1}{4} \]

Therefore, the answer is: n = 0, \(\frac{1}{4}\)