(6x^2y^2-4y^4)dx+(3x^2+6xy^3)dy=0

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Solution for (6x^2y^2-4y^4)dx+(3x^2+6xy^3)dy=0 equation: 


Simplifying
(6x2y2 + -4y4) * dx + (3x2 + 6xy3) * dy = 0

Reorder the terms for easier multiplication:
dx(6x2y2 + -4y4) + (3x2 + 6xy3) * dy = 0
(6x2y2 * dx + -4y4 * dx) + (3x2 + 6xy3) * dy = 0

Reorder the terms:
(-4dxy4 + 6dx3y2) + (3x2 + 6xy3) * dy = 0
(-4dxy4 + 6dx3y2) + (3x2 + 6xy3) * dy = 0

Reorder the terms:
-4dxy4 + 6dx3y2 + (6xy3 + 3x2) * dy = 0

Reorder the terms for easier multiplication:
-4dxy4 + 6dx3y2 + dy(6xy3 + 3x2) = 0
-4dxy4 + 6dx3y2 + (6xy3 * dy + 3x2 * dy) = 0
-4dxy4 + 6dx3y2 + (6dxy4 + 3dx2y) = 0

Reorder the terms:
-4dxy4 + 6dxy4 + 3dx2y + 6dx3y2 = 0

Combine like terms: -4dxy4 + 6dxy4 = 2dxy4
2dxy4 + 3dx2y + 6dx3y2 = 0

Solving
2dxy4 + 3dx2y + 6dx3y2 = 0

Solving for variable 'd'.

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

Factor out the Greatest Common Factor (GCF), 'dxy'.
dxy(2y3 + 3x + 6x2y) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 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 '(2y3 + 3x + 6x2y)' equal to zero and attempt to solve:

Simplifying
2y3 + 3x + 6x2y = 0

Reorder the terms:
3x + 6x2y + 2y3 = 0

Solving
3x + 6x2y + 2y3 = 0

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

Add '-3x' to each side of the equation.
3x + 6x2y + -3x + 2y3 = 0 + -3x

Reorder the terms:
3x + -3x + 6x2y + 2y3 = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + 6x2y + 2y3 = 0 + -3x
6x2y + 2y3 = 0 + -3x
Remove the zero:
6x2y + 2y3 = -3x

Add '-6x2y' to each side of the equation.
6x2y + -6x2y + 2y3 = -3x + -6x2y

Combine like terms: 6x2y + -6x2y = 0
0 + 2y3 = -3x + -6x2y
2y3 = -3x + -6x2y

Add '-2y3' to each side of the equation.
2y3 + -2y3 = -3x + -6x2y + -2y3

Combine like terms: 2y3 + -2y3 = 0
0 = -3x + -6x2y + -2y3

Simplifying
0 = -3x + -6x2y + -2y3

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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