(4x^2-4y^2)(4x^2-4xy+4y^2)(4x^2+4xy+4y^2)=0

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Solution for (4x^2-4y^2)(4x^2-4xy+4y^2)(4x^2+4xy+4y^2)=0 equation: 


Simplifying
(4x2 + -4y2)(4x2 + -4xy + 4y2)(4x2 + 4xy + 4y2) = 0

Reorder the terms:
(4x2 + -4y2)(-4xy + 4x2 + 4y2)(4x2 + 4xy + 4y2) = 0

Reorder the terms:
(4x2 + -4y2)(-4xy + 4x2 + 4y2)(4xy + 4x2 + 4y2) = 0

Multiply (4x2 + -4y2) * (-4xy + 4x2 + 4y2)
(4x2 * (-4xy + 4x2 + 4y2) + -4y2 * (-4xy + 4x2 + 4y2))(4xy + 4x2 + 4y2) = 0
((-4xy * 4x2 + 4x2 * 4x2 + 4y2 * 4x2) + -4y2 * (-4xy + 4x2 + 4y2))(4xy + 4x2 + 4y2) = 0

Reorder the terms:
((16x2y2 + -16x3y + 16x4) + -4y2 * (-4xy + 4x2 + 4y2))(4xy + 4x2 + 4y2) = 0
((16x2y2 + -16x3y + 16x4) + -4y2 * (-4xy + 4x2 + 4y2))(4xy + 4x2 + 4y2) = 0
(16x2y2 + -16x3y + 16x4 + (-4xy * -4y2 + 4x2 * -4y2 + 4y2 * -4y2))(4xy + 4x2 + 4y2) = 0
(16x2y2 + -16x3y + 16x4 + (16xy3 + -16x2y2 + -16y4))(4xy + 4x2 + 4y2) = 0

Reorder the terms:
(16xy3 + 16x2y2 + -16x2y2 + -16x3y + 16x4 + -16y4)(4xy + 4x2 + 4y2) = 0

Combine like terms: 16x2y2 + -16x2y2 = 0
(16xy3 + 0 + -16x3y + 16x4 + -16y4)(4xy + 4x2 + 4y2) = 0
(16xy3 + -16x3y + 16x4 + -16y4)(4xy + 4x2 + 4y2) = 0

Multiply (16xy3 + -16x3y + 16x4 + -16y4) * (4xy + 4x2 + 4y2)
(16xy3 * (4xy + 4x2 + 4y2) + -16x3y * (4xy + 4x2 + 4y2) + 16x4 * (4xy + 4x2 + 4y2) + -16y4 * (4xy + 4x2 + 4y2)) = 0
((4xy * 16xy3 + 4x2 * 16xy3 + 4y2 * 16xy3) + -16x3y * (4xy + 4x2 + 4y2) + 16x4 * (4xy + 4x2 + 4y2) + -16y4 * (4xy + 4x2 + 4y2)) = 0

Reorder the terms:
((64xy5 + 64x2y4 + 64x3y3) + -16x3y * (4xy + 4x2 + 4y2) + 16x4 * (4xy + 4x2 + 4y2) + -16y4 * (4xy + 4x2 + 4y2)) = 0
((64xy5 + 64x2y4 + 64x3y3) + -16x3y * (4xy + 4x2 + 4y2) + 16x4 * (4xy + 4x2 + 4y2) + -16y4 * (4xy + 4x2 + 4y2)) = 0
(64xy5 + 64x2y4 + 64x3y3 + (4xy * -16x3y + 4x2 * -16x3y + 4y2 * -16x3y) + 16x4 * (4xy + 4x2 + 4y2) + -16y4 * (4xy + 4x2 + 4y2)) = 0

Reorder the terms:
(64xy5 + 64x2y4 + 64x3y3 + (-64x3y3 + -64x4y2 + -64x5y) + 16x4 * (4xy + 4x2 + 4y2) + -16y4 * (4xy + 4x2 + 4y2)) = 0
(64xy5 + 64x2y4 + 64x3y3 + (-64x3y3 + -64x4y2 + -64x5y) + 16x4 * (4xy + 4x2 + 4y2) + -16y4 * (4xy + 4x2 + 4y2)) = 0
(64xy5 + 64x2y4 + 64x3y3 + -64x3y3 + -64x4y2 + -64x5y + (4xy * 16x4 + 4x2 * 16x4 + 4y2 * 16x4) + -16y4 * (4xy + 4x2 + 4y2)) = 0

Reorder the terms:
(64xy5 + 64x2y4 + 64x3y3 + -64x3y3 + -64x4y2 + -64x5y + (64x4y2 + 64x5y + 64x6) + -16y4 * (4xy + 4x2 + 4y2)) = 0
(64xy5 + 64x2y4 + 64x3y3 + -64x3y3 + -64x4y2 + -64x5y + (64x4y2 + 64x5y + 64x6) + -16y4 * (4xy + 4x2 + 4y2)) = 0
(64xy5 + 64x2y4 + 64x3y3 + -64x3y3 + -64x4y2 + -64x5y + 64x4y2 + 64x5y + 64x6 + (4xy * -16y4 + 4x2 * -16y4 + 4y2 * -16y4)) = 0
(64xy5 + 64x2y4 + 64x3y3 + -64x3y3 + -64x4y2 + -64x5y + 64x4y2 + 64x5y + 64x6 + (-64xy5 + -64x2y4 + -64y6)) = 0

Reorder the terms:
(64xy5 + -64xy5 + 64x2y4 + -64x2y4 + 64x3y3 + -64x3y3 + -64x4y2 + 64x4y2 + -64x5y + 64x5y + 64x6 + -64y6) = 0

Combine like terms: 64xy5 + -64xy5 = 0
(0 + 64x2y4 + -64x2y4 + 64x3y3 + -64x3y3 + -64x4y2 + 64x4y2 + -64x5y + 64x5y + 64x6 + -64y6) = 0
(64x2y4 + -64x2y4 + 64x3y3 + -64x3y3 + -64x4y2 + 64x4y2 + -64x5y + 64x5y + 64x6 + -64y6) = 0

Combine like terms: 64x2y4 + -64x2y4 = 0
(0 + 64x3y3 + -64x3y3 + -64x4y2 + 64x4y2 + -64x5y + 64x5y + 64x6 + -64y6) = 0
(64x3y3 + -64x3y3 + -64x4y2 + 64x4y2 + -64x5y + 64x5y + 64x6 + -64y6) = 0

Combine like terms: 64x3y3 + -64x3y3 = 0
(0 + -64x4y2 + 64x4y2 + -64x5y + 64x5y + 64x6 + -64y6) = 0
(-64x4y2 + 64x4y2 + -64x5y + 64x5y + 64x6 + -64y6) = 0

Combine like terms: -64x4y2 + 64x4y2 = 0
(0 + -64x5y + 64x5y + 64x6 + -64y6) = 0
(-64x5y + 64x5y + 64x6 + -64y6) = 0

Combine like terms: -64x5y + 64x5y = 0
(0 + 64x6 + -64y6) = 0
(64x6 + -64y6) = 0

Solving
64x6 + -64y6 = 0

Solving for variable 'x'.

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

Add '64y6' to each side of the equation.
64x6 + -64y6 + 64y6 = 0 + 64y6

Combine like terms: -64y6 + 64y6 = 0
64x6 + 0 = 0 + 64y6
64x6 = 0 + 64y6
Remove the zero:
64x6 = 64y6

Divide each side by '64'.
x6 = y6

Simplifying
x6 = y6

Combine like terms: y6 + -1y6 = 0
x6 + -1y6 = 0

Factor a difference between two squares.
(x3 + y3)(x3 + -1y3) = 0


Subproblem 1
Set the factor '(x3 + y3)' equal to zero and attempt to solve:

Simplifying
x3 + y3 = 0

Solving
x3 + y3 = 0

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

Add '-1y3' to each side of the equation.
x3 + y3 + -1y3 = 0 + -1y3

Combine like terms: y3 + -1y3 = 0
x3 + 0 = 0 + -1y3
x3 = 0 + -1y3
Remove the zero:
x3 = -1y3

Simplifying
x3 = -1y3

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 '(x3 + -1y3)' equal to zero and attempt to solve:

Simplifying
x3 + -1y3 = 0

Solving
x3 + -1y3 = 0

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

Add 'y3' to each side of the equation.
x3 + -1y3 + y3 = 0 + y3

Combine like terms: -1y3 + y3 = 0
x3 + 0 = 0 + y3
x3 = 0 + y3
Remove the zero:
x3 = y3

Simplifying
x3 = y3

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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