N^4-2n^2+1=

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Solution for N^4-2n^2+1= equation: 


Simplifying
N4 + -2n2 + 1 = 0

Reorder the terms:
1 + N4 + -2n2 = 0

Solving
1 + N4 + -2n2 = 0

Solving for variable 'N'.

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

Add '-1' to each side of the equation.
1 + N4 + -1 + -2n2 = 0 + -1

Reorder the terms:
1 + -1 + N4 + -2n2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + N4 + -2n2 = 0 + -1
N4 + -2n2 = 0 + -1

Combine like terms: 0 + -1 = -1
N4 + -2n2 = -1

Add '2n2' to each side of the equation.
N4 + -2n2 + 2n2 = -1 + 2n2

Combine like terms: -2n2 + 2n2 = 0
N4 + 0 = -1 + 2n2
N4 = -1 + 2n2

Simplifying
N4 = -1 + 2n2

Reorder the terms:
1 + N4 + -2n2 = -1 + 2n2 + 1 + -2n2

Reorder the terms:
1 + N4 + -2n2 = -1 + 1 + 2n2 + -2n2

Combine like terms: -1 + 1 = 0
1 + N4 + -2n2 = 0 + 2n2 + -2n2
1 + N4 + -2n2 = 2n2 + -2n2

Combine like terms: 2n2 + -2n2 = 0
1 + N4 + -2n2 = 0

Factor a trinomial.
(N2 + -1n)(N2 + 2n) = 0


Subproblem 1
Set the factor '(N2 + -1n)' equal to zero and attempt to solve:

Simplifying
N2 + -1n = 0

Solving
N2 + -1n = 0

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

Add 'n' to each side of the equation.
N2 + -1n + n = 0 + n

Combine like terms: -1n + n = 0
N2 + 0 = 0 + n
N2 = 0 + n
Remove the zero:
N2 = n

Simplifying
N2 = n

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 '(N2 + 2n)' equal to zero and attempt to solve:

Simplifying
N2 + 2n = 0

Solving
N2 + 2n = 0

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

Add '-2n' to each side of the equation.
N2 + 2n + -2n = 0 + -2n

Combine like terms: 2n + -2n = 0
N2 + 0 = 0 + -2n
N2 = 0 + -2n
Remove the zero:
N2 = -2n

Simplifying
N2 = -2n

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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