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

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

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

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

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

Reorder the terms:
(16x2y2 + -16x2y2 + 16x4 + -16y4) = 0

Combine like terms: 16x2y2 + -16x2y2 = 0
(0 + 16x4 + -16y4) = 0
(16x4 + -16y4) = 0

Solving
16x4 + -16y4 = 0

Solving for variable 'x'.

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

Add '16y4' to each side of the equation.
16x4 + -16y4 + 16y4 = 0 + 16y4

Combine like terms: -16y4 + 16y4 = 0
16x4 + 0 = 0 + 16y4
16x4 = 0 + 16y4
Remove the zero:
16x4 = 16y4

Divide each side by '16'.
x4 = y4

Simplifying
x4 = y4

Combine like terms: y4 + -1y4 = 0
x4 + -1y4 = 0

Factor a difference between two squares.
(x2 + y2)(x2 + -1y2) = 0

Factor a difference between two squares.
(x2 + y2)((x + y)(x + -1y)) = 0

Subproblem 1
Set the factor '(x2 + y2)' equal to zero and attempt to solve:

Simplifying
x2 + y2 = 0

Solving
x2 + y2 = 0

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

Add '-1y2' to each side of the equation.
x2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
x2 + 0 = 0 + -1y2
x2 = 0 + -1y2
Remove the zero:
x2 = -1y2

Simplifying
x2 = -1y2

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 '(x + y)' equal to zero and attempt to solve:

Simplifying
x + y = 0

Solving
x + y = 0

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

Add '-1y' to each side of the equation.
x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
x + 0 = 0 + -1y
x = 0 + -1y
Remove the zero:
x = -1y

Simplifying
x = -1y
Subproblem 3
Set the factor '(x + -1y)' equal to zero and attempt to solve:

Simplifying
x + -1y = 0

Solving
x + -1y = 0

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

Add 'y' to each side of the equation.
x + -1y + y = 0 + y

Combine like terms: -1y + y = 0
x + 0 = 0 + y
x = 0 + y
Remove the zero:
x = y

Simplifying
x = y
Solution
x = {-1y, y}