-9n(4n+-5)=0

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Solution for -9n(4n+-5)=0 equation: 


Simplifying
-9n(4n + -5) = 0

Reorder the terms:
-9n(-5 + 4n) = 0
(-5 * -9n + 4n * -9n) = 0
(45n + -36n2) = 0

Solving
45n + -36n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '9n'.
9n(5 + -4n) = 0

Ignore the factor 9.

Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

Move all terms containing n to the left, all other terms to the right.

Simplifying
n = 0

Subproblem 2
Set the factor '(5 + -4n)' equal to zero and attempt to solve:

Simplifying
5 + -4n = 0

Solving
5 + -4n = 0

Move all terms containing n to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -5 + -4n = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -4n = 0 + -5
-4n = 0 + -5

Combine like terms: 0 + -5 = -5
-4n = -5

Divide each side by '-4'.
n = 1.25

Simplifying
n = 1.25
Solution
n = {0, 1.25}

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