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

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


Simplifying
(2x2 + y2)(2x2 + y2) = 0

Multiply (2x2 + y2) * (2x2 + y2)
(2x2 * (2x2 + y2) + y2(2x2 + y2)) = 0
((2x2 * 2x2 + y2 * 2x2) + y2(2x2 + y2)) = 0

Reorder the terms:
((2x2y2 + 4x4) + y2(2x2 + y2)) = 0
((2x2y2 + 4x4) + y2(2x2 + y2)) = 0
(2x2y2 + 4x4 + (2x2 * y2 + y2 * y2)) = 0
(2x2y2 + 4x4 + (2x2y2 + y4)) = 0

Reorder the terms:
(2x2y2 + 2x2y2 + 4x4 + y4) = 0

Combine like terms: 2x2y2 + 2x2y2 = 4x2y2
(4x2y2 + 4x4 + y4) = 0

Solving
4x2y2 + 4x4 + y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(2x2 + y2)(2x2 + y2) = 0


Subproblem 1
Set the factor '(2x2 + y2)' equal to zero and attempt to solve:

Simplifying
2x2 + y2 = 0

Solving
2x2 + y2 = 0

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

Add '-1y2' to each side of the equation.
2x2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
2x2 + 0 = 0 + -1y2
2x2 = 0 + -1y2
Remove the zero:
2x2 = -1y2

Divide each side by '2'.
x2 = -0.5y2

Simplifying
x2 = -0.5y2

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 '(2x2 + y2)' equal to zero and attempt to solve:

Simplifying
2x2 + y2 = 0

Solving
2x2 + y2 = 0

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

Add '-1y2' to each side of the equation.
2x2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
2x2 + 0 = 0 + -1y2
2x2 = 0 + -1y2
Remove the zero:
2x2 = -1y2

Divide each side by '2'.
x2 = -0.5y2

Simplifying
x2 = -0.5y2

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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