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

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


Simplifying
(3x3 + -2y) * dx + (-3y4 + -2x) * dy = 0

Reorder the terms for easier multiplication:
dx(3x3 + -2y) + (-3y4 + -2x) * dy = 0
(3x3 * dx + -2y * dx) + (-3y4 + -2x) * dy = 0

Reorder the terms:
(-2dxy + 3dx4) + (-3y4 + -2x) * dy = 0
(-2dxy + 3dx4) + (-3y4 + -2x) * dy = 0

Reorder the terms:
-2dxy + 3dx4 + (-2x + -3y4) * dy = 0

Reorder the terms for easier multiplication:
-2dxy + 3dx4 + dy(-2x + -3y4) = 0
-2dxy + 3dx4 + (-2x * dy + -3y4 * dy) = 0
-2dxy + 3dx4 + (-2dxy + -3dy5) = 0

Reorder the terms:
-2dxy + -2dxy + 3dx4 + -3dy5 = 0

Combine like terms: -2dxy + -2dxy = -4dxy
-4dxy + 3dx4 + -3dy5 = 0

Solving
-4dxy + 3dx4 + -3dy5 = 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), 'd'.
d(-4xy + 3x4 + -3y5) = 0


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

Simplifying
d = 0

Solving
d = 0

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

Simplifying
d = 0

Subproblem 2
Set the factor '(-4xy + 3x4 + -3y5)' equal to zero and attempt to solve:

Simplifying
-4xy + 3x4 + -3y5 = 0

Solving
-4xy + 3x4 + -3y5 = 0

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

Add '4xy' to each side of the equation.
-4xy + 3x4 + 4xy + -3y5 = 0 + 4xy

Reorder the terms:
-4xy + 4xy + 3x4 + -3y5 = 0 + 4xy

Combine like terms: -4xy + 4xy = 0
0 + 3x4 + -3y5 = 0 + 4xy
3x4 + -3y5 = 0 + 4xy
Remove the zero:
3x4 + -3y5 = 4xy

Add '-3x4' to each side of the equation.
3x4 + -3x4 + -3y5 = 4xy + -3x4

Combine like terms: 3x4 + -3x4 = 0
0 + -3y5 = 4xy + -3x4
-3y5 = 4xy + -3x4

Add '3y5' to each side of the equation.
-3y5 + 3y5 = 4xy + -3x4 + 3y5

Combine like terms: -3y5 + 3y5 = 0
0 = 4xy + -3x4 + 3y5

Simplifying
0 = 4xy + -3x4 + 3y5

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
d = {0}

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