N^6-9x^2y^2=0

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Solution for N^6-9x^2y^2=0 equation: 


Simplifying
N6 + -9x2y2 = 0

Solving
N6 + -9x2y2 = 0

Solving for variable 'N'.

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

Add '9x2y2' to each side of the equation.
N6 + -9x2y2 + 9x2y2 = 0 + 9x2y2

Combine like terms: -9x2y2 + 9x2y2 = 0
N6 + 0 = 0 + 9x2y2
N6 = 0 + 9x2y2
Remove the zero:
N6 = 9x2y2

Simplifying
N6 = 9x2y2

Combine like terms: 9x2y2 + -9x2y2 = 0
N6 + -9x2y2 = 0

Factor a difference between two squares.
(N3 + 3xy)(N3 + -3xy) = 0


Subproblem 1
Set the factor '(N3 + 3xy)' equal to zero and attempt to solve:

Simplifying
N3 + 3xy = 0

Solving
N3 + 3xy = 0

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

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

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

Simplifying
N3 = -3xy

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 + -3xy)' equal to zero and attempt to solve:

Simplifying
N3 + -3xy = 0

Solving
N3 + -3xy = 0

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

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

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

Simplifying
N3 = 3xy

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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