N^6+6n^2+5=0

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Solution for N^6+6n^2+5=0 equation: 


Simplifying
N6 + 6n2 + 5 = 0

Reorder the terms:
5 + N6 + 6n2 = 0

Solving
5 + N6 + 6n2 = 0

Solving for variable 'N'.

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

Add '-5' to each side of the equation.
5 + N6 + -5 + 6n2 = 0 + -5

Reorder the terms:
5 + -5 + N6 + 6n2 = 0 + -5

Combine like terms: 5 + -5 = 0
0 + N6 + 6n2 = 0 + -5
N6 + 6n2 = 0 + -5

Combine like terms: 0 + -5 = -5
N6 + 6n2 = -5

Add '-6n2' to each side of the equation.
N6 + 6n2 + -6n2 = -5 + -6n2

Combine like terms: 6n2 + -6n2 = 0
N6 + 0 = -5 + -6n2
N6 = -5 + -6n2

Simplifying
N6 = -5 + -6n2

Reorder the terms:
5 + N6 + 6n2 = -5 + -6n2 + 5 + 6n2

Reorder the terms:
5 + N6 + 6n2 = -5 + 5 + -6n2 + 6n2

Combine like terms: -5 + 5 = 0
5 + N6 + 6n2 = 0 + -6n2 + 6n2
5 + N6 + 6n2 = -6n2 + 6n2

Combine like terms: -6n2 + 6n2 = 0
5 + N6 + 6n2 = 0

Factor a trinomial.
(N3 + 2n)(N3 + 3n) = 0


Subproblem 1
Set the factor '(N3 + 2n)' equal to zero and attempt to solve:

Simplifying
N3 + 2n = 0

Solving
N3 + 2n = 0

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

Add '-2n' to each side of the equation.
N3 + 2n + -2n = 0 + -2n

Combine like terms: 2n + -2n = 0
N3 + 0 = 0 + -2n
N3 = 0 + -2n
Remove the zero:
N3 = -2n

Simplifying
N3 = -2n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(N3 + 3n)' equal to zero and attempt to solve:

Simplifying
N3 + 3n = 0

Solving
N3 + 3n = 0

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

Add '-3n' to each side of the equation.
N3 + 3n + -3n = 0 + -3n

Combine like terms: 3n + -3n = 0
N3 + 0 = 0 + -3n
N3 = 0 + -3n
Remove the zero:
N3 = -3n

Simplifying
N3 = -3n

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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