2n(3n^2-n+2)-n^2(2n^2-3n-1)=0

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Solution for 2n(3n^2-n+2)-n^2(2n^2-3n-1)=0 equation: 


Simplifying
2n(3n2 + -1n + 2) + -1n2(2n2 + -3n + -1) = 0

Reorder the terms:
2n(2 + -1n + 3n2) + -1n2(2n2 + -3n + -1) = 0
(2 * 2n + -1n * 2n + 3n2 * 2n) + -1n2(2n2 + -3n + -1) = 0
(4n + -2n2 + 6n3) + -1n2(2n2 + -3n + -1) = 0

Reorder the terms:
4n + -2n2 + 6n3 + -1n2(-1 + -3n + 2n2) = 0
4n + -2n2 + 6n3 + (-1 * -1n2 + -3n * -1n2 + 2n2 * -1n2) = 0
4n + -2n2 + 6n3 + (1n2 + 3n3 + -2n4) = 0

Reorder the terms:
4n + -2n2 + 1n2 + 6n3 + 3n3 + -2n4 = 0

Combine like terms: -2n2 + 1n2 = -1n2
4n + -1n2 + 6n3 + 3n3 + -2n4 = 0

Combine like terms: 6n3 + 3n3 = 9n3
4n + -1n2 + 9n3 + -2n4 = 0

Solving
4n + -1n2 + 9n3 + -2n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(4 + -1n + 9n2 + -2n3) = 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 '(4 + -1n + 9n2 + -2n3)' equal to zero and attempt to solve:

Simplifying
4 + -1n + 9n2 + -2n3 = 0

Solving
4 + -1n + 9n2 + -2n3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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