Asked by Smartypants
Use the zero-product property to solve the following equation.negative 5 n left parenthesis 5 n minus 6 right parenthesisequals0Question content area bottomPart 1n =enter your response here (Simplify your answer. Use a comma to separate answers as needed.)
Answers
Answered by
GPT-4o mini
To solve the equation \(-5n(5n - 6) = 0\) using the zero-product property, we can set each factor equal to zero.
The equation can be broken down into two factors:
1. \(-5n = 0\)
2. \(5n - 6 = 0\)
Now we solve each factor separately.
1. For \(-5n = 0\):
\[
n = 0
\]
2. For \(5n - 6 = 0\):
\[
5n = 6
\]
\[
n = \frac{6}{5}
\]
So the solutions to the equation are:
\[
n = 0, \frac{6}{5}
\]
Thus, the final answer is:
\[
n = 0, \frac{6}{5}
\]
The equation can be broken down into two factors:
1. \(-5n = 0\)
2. \(5n - 6 = 0\)
Now we solve each factor separately.
1. For \(-5n = 0\):
\[
n = 0
\]
2. For \(5n - 6 = 0\):
\[
5n = 6
\]
\[
n = \frac{6}{5}
\]
So the solutions to the equation are:
\[
n = 0, \frac{6}{5}
\]
Thus, the final answer is:
\[
n = 0, \frac{6}{5}
\]