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

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


Simplifying
(x4 + y2)(x4 + -1y2) = 0

Multiply (x4 + y2) * (x4 + -1y2)
(x4(x4 + -1y2) + y2(x4 + -1y2)) = 0
((x4 * x4 + -1y2 * x4) + y2(x4 + -1y2)) = 0

Reorder the terms:
((-1x4y2 + x8) + y2(x4 + -1y2)) = 0
((-1x4y2 + x8) + y2(x4 + -1y2)) = 0
(-1x4y2 + x8 + (x4 * y2 + -1y2 * y2)) = 0
(-1x4y2 + x8 + (x4y2 + -1y4)) = 0

Reorder the terms:
(-1x4y2 + x4y2 + x8 + -1y4) = 0

Combine like terms: -1x4y2 + x4y2 = 0
(0 + x8 + -1y4) = 0
(x8 + -1y4) = 0

Solving
x8 + -1y4 = 0

Solving for variable 'x'.

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

Add 'y4' to each side of the equation.
x8 + -1y4 + y4 = 0 + y4

Combine like terms: -1y4 + y4 = 0
x8 + 0 = 0 + y4
x8 = 0 + y4
Remove the zero:
x8 = y4

Simplifying
x8 = y4

Combine like terms: y4 + -1y4 = 0
x8 + -1y4 = 0

Factor a difference between two squares.
(x4 + y2)(x4 + -1y2) = 0

Factor a difference between two squares.
(x4 + y2)((x2 + y)(x2 + -1y)) = 0


Subproblem 1
Set the factor '(x4 + y2)' equal to zero and attempt to solve:

Simplifying
x4 + y2 = 0

Solving
x4 + y2 = 0

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

Add '-1y2' to each side of the equation.
x4 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
x4 + 0 = 0 + -1y2
x4 = 0 + -1y2
Remove the zero:
x4 = -1y2

Simplifying
x4 = -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 '(x2 + y)' equal to zero and attempt to solve:

Simplifying
x2 + y = 0

Solving
x2 + y = 0

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

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

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

Simplifying
x2 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 3
Set the factor '(x2 + -1y)' equal to zero and attempt to solve:

Simplifying
x2 + -1y = 0

Solving
x2 + -1y = 0

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

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

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

Simplifying
x2 = y

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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