(6x^4y^2+3x^2y^4)-(x^4y^2-4x^2y^4)=

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Solution for (6x^4y^2+3x^2y^4)-(x^4y^2-4x^2y^4)= equation: 


Simplifying
(6x4y2 + 3x2y4) + -1(x4y2 + -4x2y4) = 0

Reorder the terms:
(3x2y4 + 6x4y2) + -1(x4y2 + -4x2y4) = 0

Remove parenthesis around (3x2y4 + 6x4y2)
3x2y4 + 6x4y2 + -1(x4y2 + -4x2y4) = 0

Reorder the terms:
3x2y4 + 6x4y2 + -1(-4x2y4 + x4y2) = 0
3x2y4 + 6x4y2 + (-4x2y4 * -1 + x4y2 * -1) = 0
3x2y4 + 6x4y2 + (4x2y4 + -1x4y2) = 0

Reorder the terms:
3x2y4 + 4x2y4 + 6x4y2 + -1x4y2 = 0

Combine like terms: 3x2y4 + 4x2y4 = 7x2y4
7x2y4 + 6x4y2 + -1x4y2 = 0

Combine like terms: 6x4y2 + -1x4y2 = 5x4y2
7x2y4 + 5x4y2 = 0

Solving
7x2y4 + 5x4y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2y2'.
x2y2(7y2 + 5x2) = 0


Subproblem 1
Set the factor 'x2y2' equal to zero and attempt to solve:

Simplifying
x2y2 = 0

Solving
x2y2 = 0

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

Simplifying
x2y2 = 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 '(7y2 + 5x2)' equal to zero and attempt to solve:

Simplifying
7y2 + 5x2 = 0

Reorder the terms:
5x2 + 7y2 = 0

Solving
5x2 + 7y2 = 0

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

Add '-7y2' to each side of the equation.
5x2 + 7y2 + -7y2 = 0 + -7y2

Combine like terms: 7y2 + -7y2 = 0
5x2 + 0 = 0 + -7y2
5x2 = 0 + -7y2
Remove the zero:
5x2 = -7y2

Divide each side by '5'.
x2 = -1.4y2

Simplifying
x2 = -1.4y2

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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