(18n+2n^6+2n^3)-(-16n^3+5n^6-3n)=

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Solution for (18n+2n^6+2n^3)-(-16n^3+5n^6-3n)= equation:


Simplifying
(18n + 2n6 + 2n3) + -1(-16n3 + 5n6 + -3n) = 0

Reorder the terms:
(18n + 2n3 + 2n6) + -1(-16n3 + 5n6 + -3n) = 0

Remove parenthesis around (18n + 2n3 + 2n6)
18n + 2n3 + 2n6 + -1(-16n3 + 5n6 + -3n) = 0

Reorder the terms:
18n + 2n3 + 2n6 + -1(-3n + -16n3 + 5n6) = 0
18n + 2n3 + 2n6 + (-3n * -1 + -16n3 * -1 + 5n6 * -1) = 0
18n + 2n3 + 2n6 + (3n + 16n3 + -5n6) = 0

Reorder the terms:
18n + 3n + 2n3 + 16n3 + 2n6 + -5n6 = 0

Combine like terms: 18n + 3n = 21n
21n + 2n3 + 16n3 + 2n6 + -5n6 = 0

Combine like terms: 2n3 + 16n3 = 18n3
21n + 18n3 + 2n6 + -5n6 = 0

Combine like terms: 2n6 + -5n6 = -3n6
21n + 18n3 + -3n6 = 0

Solving
21n + 18n3 + -3n6 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(7 + 6n2 + -1n5) = 0

Ignore the factor 3.

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 '(7 + 6n2 + -1n5)' equal to zero and attempt to solve: Simplifying 7 + 6n2 + -1n5 = 0 Solving 7 + 6n2 + -1n5 = 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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