y^4+5y^2x^2+4x^4=0

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Solution for y^4+5y^2x^2+4x^4=0 equation: 


Simplifying
y4 + 5y2x2 + 4x4 = 0

Reorder the terms:
5x2y2 + 4x4 + y4 = 0

Solving
5x2y2 + 4x4 + y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x2 + y2)(x2 + y2) = 0


Subproblem 1
Set the factor '(4x2 + y2)' equal to zero and attempt to solve:

Simplifying
4x2 + y2 = 0

Solving
4x2 + y2 = 0

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

Add '-1y2' to each side of the equation.
4x2 + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
4x2 + 0 = 0 + -1y2
4x2 = 0 + -1y2
Remove the zero:
4x2 = -1y2

Divide each side by '4'.
x2 = -0.25y2

Simplifying
x2 = -0.25y2

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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