(6n-14n^2+7n^5)-(-3n^5+8n^2+2n)=

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Solution for (6n-14n^2+7n^5)-(-3n^5+8n^2+2n)= equation: 


Simplifying
(6n + -14n2 + 7n5) + -1(-3n5 + 8n2 + 2n) = 0

Remove parenthesis around (6n + -14n2 + 7n5)
6n + -14n2 + 7n5 + -1(-3n5 + 8n2 + 2n) = 0

Reorder the terms:
6n + -14n2 + 7n5 + -1(2n + 8n2 + -3n5) = 0
6n + -14n2 + 7n5 + (2n * -1 + 8n2 * -1 + -3n5 * -1) = 0
6n + -14n2 + 7n5 + (-2n + -8n2 + 3n5) = 0

Reorder the terms:
6n + -2n + -14n2 + -8n2 + 7n5 + 3n5 = 0

Combine like terms: 6n + -2n = 4n
4n + -14n2 + -8n2 + 7n5 + 3n5 = 0

Combine like terms: -14n2 + -8n2 = -22n2
4n + -22n2 + 7n5 + 3n5 = 0

Combine like terms: 7n5 + 3n5 = 10n5
4n + -22n2 + 10n5 = 0

Solving
4n + -22n2 + 10n5 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(2 + -11n + 5n4) = 0

Ignore the factor 2.

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 '(2 + -11n + 5n4)' equal to zero and attempt to solve:

Simplifying
2 + -11n + 5n4 = 0

Solving
2 + -11n + 5n4 = 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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