(13n^2+11n-2n^4)+(-13n^2-3n-6n^4)=0

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Solution for (13n^2+11n-2n^4)+(-13n^2-3n-6n^4)=0 equation: 


Simplifying
(13n2 + 11n + -2n4) + (-13n2 + -3n + -6n4) = 0

Reorder the terms:
(11n + 13n2 + -2n4) + (-13n2 + -3n + -6n4) = 0

Remove parenthesis around (11n + 13n2 + -2n4)
11n + 13n2 + -2n4 + (-13n2 + -3n + -6n4) = 0

Reorder the terms:
11n + 13n2 + -2n4 + (-3n + -13n2 + -6n4) = 0

Remove parenthesis around (-3n + -13n2 + -6n4)
11n + 13n2 + -2n4 + -3n + -13n2 + -6n4 = 0

Reorder the terms:
11n + -3n + 13n2 + -13n2 + -2n4 + -6n4 = 0

Combine like terms: 11n + -3n = 8n
8n + 13n2 + -13n2 + -2n4 + -6n4 = 0

Combine like terms: 13n2 + -13n2 = 0
8n + 0 + -2n4 + -6n4 = 0
8n + -2n4 + -6n4 = 0

Combine like terms: -2n4 + -6n4 = -8n4
8n + -8n4 = 0

Solving
8n + -8n4 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '8n'.
8n(1 + -1n3) = 0

Ignore the factor 8.

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 '(1 + -1n3)' equal to zero and attempt to solve:

Simplifying
1 + -1n3 = 0

Solving
1 + -1n3 = 0

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

Add '-1' to each side of the equation.
1 + -1 + -1n3 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1n3 = 0 + -1
-1n3 = 0 + -1

Combine like terms: 0 + -1 = -1
-1n3 = -1

Divide each side by '-1'.
n3 = 1

Simplifying
n3 = 1

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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