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

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


Simplifying
(8n7 + -8n + 5n6) + (5n6 + 2n7 + 6n) = 0

Reorder the terms:
(-8n + 5n6 + 8n7) + (5n6 + 2n7 + 6n) = 0

Remove parenthesis around (-8n + 5n6 + 8n7)
-8n + 5n6 + 8n7 + (5n6 + 2n7 + 6n) = 0

Reorder the terms:
-8n + 5n6 + 8n7 + (6n + 5n6 + 2n7) = 0

Remove parenthesis around (6n + 5n6 + 2n7)
-8n + 5n6 + 8n7 + 6n + 5n6 + 2n7 = 0

Reorder the terms:
-8n + 6n + 5n6 + 5n6 + 8n7 + 2n7 = 0

Combine like terms: -8n + 6n = -2n
-2n + 5n6 + 5n6 + 8n7 + 2n7 = 0

Combine like terms: 5n6 + 5n6 = 10n6
-2n + 10n6 + 8n7 + 2n7 = 0

Combine like terms: 8n7 + 2n7 = 10n7
-2n + 10n6 + 10n7 = 0

Solving
-2n + 10n6 + 10n7 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-1 + 5n5 + 5n6) = 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 '(-1 + 5n5 + 5n6)' equal to zero and attempt to solve:

Simplifying
-1 + 5n5 + 5n6 = 0

Solving
-1 + 5n5 + 5n6 = 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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