(6n+9n^6+13n^5)-(-16n^5+2n^6-5n)=

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Solution for (6n+9n^6+13n^5)-(-16n^5+2n^6-5n)= equation:


Simplifying
(6n + 9n6 + 13n5) + -1(-16n5 + 2n6 + -5n) = 0

Reorder the terms:
(6n + 13n5 + 9n6) + -1(-16n5 + 2n6 + -5n) = 0

Remove parenthesis around (6n + 13n5 + 9n6)
6n + 13n5 + 9n6 + -1(-16n5 + 2n6 + -5n) = 0

Reorder the terms:
6n + 13n5 + 9n6 + -1(-5n + -16n5 + 2n6) = 0
6n + 13n5 + 9n6 + (-5n * -1 + -16n5 * -1 + 2n6 * -1) = 0
6n + 13n5 + 9n6 + (5n + 16n5 + -2n6) = 0

Reorder the terms:
6n + 5n + 13n5 + 16n5 + 9n6 + -2n6 = 0

Combine like terms: 6n + 5n = 11n
11n + 13n5 + 16n5 + 9n6 + -2n6 = 0

Combine like terms: 13n5 + 16n5 = 29n5
11n + 29n5 + 9n6 + -2n6 = 0

Combine like terms: 9n6 + -2n6 = 7n6
11n + 29n5 + 7n6 = 0

Solving
11n + 29n5 + 7n6 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(11 + 29n4 + 7n5) = 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 '(11 + 29n4 + 7n5)' equal to zero and attempt to solve: Simplifying 11 + 29n4 + 7n5 = 0 Solving 11 + 29n4 + 7n5 = 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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