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Need Answer ASAP!!!!!!!Solve the equation using the zero product property. -n(5n-4)=0

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4 votes
-n(5n-4)=0
-5n^2+4n=0
n(-5n+4)=0
n=0
-5n+4=0
-5n=-4
n=4/5
User Aldian
by
7.0k points
4 votes

Answer:


n=0\text{ or }n=(4)/(5)

Explanation:

We have been given an equation
-n(5n-4)=0. We are asked to solve our given equation using zero product property.

Zero product property states that the product of two expressions are zero, if and only if, one of them is zero.

Using zero product property, we will set each factor of our equation to zero as:


-n=0\text{ or }(5n-4)=0


n=0\text{ or }5n-4=0


n=0\text{ or }5n-4+4=0+4


n=0\text{ or }5n=4


n=0\text{ or }(5n)/(5)=(4)/(5)


n=0\text{ or }n=(4)/(5)

Therefore, the solutions for our given equation are
n=0\text{ or }n=(4)/(5).

User Siddhant
by
6.2k points