4x^4y-4x^2y=6x^2y^2

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Solution for 4x^4y-4x^2y=6x^2y^2 equation: 


Simplifying
4x4y + -4x2y = 6x2y2

Reorder the terms:
-4x2y + 4x4y = 6x2y2

Solving
-4x2y + 4x4y = 6x2y2

Solving for variable 'x'.

Reorder the terms:
-4x2y + -6x2y2 + 4x4y = 6x2y2 + -6x2y2

Combine like terms: 6x2y2 + -6x2y2 = 0
-4x2y + -6x2y2 + 4x4y = 0

Factor out the Greatest Common Factor (GCF), '2x2y'.
2x2y(-2 + -3y + 2x2) = 0

Ignore the factor 2.

Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve:

Simplifying
x2y = 0

Solving
x2y = 0

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

Simplifying
x2y = 0

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 '(-2 + -3y + 2x2)' equal to zero and attempt to solve:

Simplifying
-2 + -3y + 2x2 = 0

Reorder the terms:
-2 + 2x2 + -3y = 0

Solving
-2 + 2x2 + -3y = 0

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

Add '2' to each side of the equation.
-2 + 2x2 + 2 + -3y = 0 + 2

Reorder the terms:
-2 + 2 + 2x2 + -3y = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 2x2 + -3y = 0 + 2
2x2 + -3y = 0 + 2

Combine like terms: 0 + 2 = 2
2x2 + -3y = 2

Add '3y' to each side of the equation.
2x2 + -3y + 3y = 2 + 3y

Combine like terms: -3y + 3y = 0
2x2 + 0 = 2 + 3y
2x2 = 2 + 3y

Divide each side by '2'.
x2 = 1 + 1.5y

Simplifying
x2 = 1 + 1.5y

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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