9N(N-1)-5N^2=

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Solution for 9N(N-1)-5N^2= equation: 


Simplifying
9N(N + -1) + -5N2 = 0

Reorder the terms:
9N(-1 + N) + -5N2 = 0
(-1 * 9N + N * 9N) + -5N2 = 0
(-9N + 9N2) + -5N2 = 0

Combine like terms: 9N2 + -5N2 = 4N2
-9N + 4N2 = 0

Solving
-9N + 4N2 = 0

Solving for variable 'N'.

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


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 '(-9 + 4N)' equal to zero and attempt to solve:

Simplifying
-9 + 4N = 0

Solving
-9 + 4N = 0

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

Add '9' to each side of the equation.
-9 + 9 + 4N = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4N = 0 + 9
4N = 0 + 9

Combine like terms: 0 + 9 = 9
4N = 9

Divide each side by '4'.
N = 2.25

Simplifying
N = 2.25
Solution
N = {0, 2.25}

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