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

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


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

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

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

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

Combine like terms: x2y2 + x2y2 = 2x2y2
(2x2y2 + x4 + y4) = 0

Solving
2x2y2 + x4 + y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(x2 + y2)(x2 + y2) = 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 '(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.

The solution to this equation could not be determined.

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