4n^6+n-6(n^6+4n)=

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Solution for 4n^6+n-6(n^6+4n)= equation: 


Simplifying
4n6 + n + -6(n6 + 4n) = 0

Reorder the terms:
4n6 + n + -6(4n + n6) = 0
4n6 + n + (4n * -6 + n6 * -6) = 0
4n6 + n + (-24n + -6n6) = 0

Reorder the terms:
n + -24n + 4n6 + -6n6 = 0

Combine like terms: n + -24n = -23n
-23n + 4n6 + -6n6 = 0

Combine like terms: 4n6 + -6n6 = -2n6
-23n + -2n6 = 0

Solving
-23n + -2n6 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-1n'.
-1n(23 + 2n5) = 0

Ignore the factor -1.

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 '(23 + 2n5)' equal to zero and attempt to solve:

Simplifying
23 + 2n5 = 0

Solving
23 + 2n5 = 0

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

Add '-23' to each side of the equation.
23 + -23 + 2n5 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 2n5 = 0 + -23
2n5 = 0 + -23

Combine like terms: 0 + -23 = -23
2n5 = -23

Divide each side by '2'.
n5 = -11.5

Simplifying
n5 = -11.5

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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