N^4-4x^2y^2=0

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Solution for N^4-4x^2y^2=0 equation: 


Simplifying
N4 + -4x2y2 = 0

Solving
N4 + -4x2y2 = 0

Solving for variable 'N'.

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

Add '4x2y2' to each side of the equation.
N4 + -4x2y2 + 4x2y2 = 0 + 4x2y2

Combine like terms: -4x2y2 + 4x2y2 = 0
N4 + 0 = 0 + 4x2y2
N4 = 0 + 4x2y2
Remove the zero:
N4 = 4x2y2

Simplifying
N4 = 4x2y2

Combine like terms: 4x2y2 + -4x2y2 = 0
N4 + -4x2y2 = 0

Factor a difference between two squares.
(N2 + 2xy)(N2 + -2xy) = 0


Subproblem 1
Set the factor '(N2 + 2xy)' equal to zero and attempt to solve:

Simplifying
N2 + 2xy = 0

Solving
N2 + 2xy = 0

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

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

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

Simplifying
N2 = -2xy

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 + -2xy)' equal to zero and attempt to solve:

Simplifying
N2 + -2xy = 0

Solving
N2 + -2xy = 0

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

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

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

Simplifying
N2 = 2xy

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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