(3x^2-2y^2)dx+(1-4x^2y)dy=0

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Solution for (3x^2-2y^2)dx+(1-4x^2y)dy=0 equation: 


Simplifying
(3x2 + -2y2) * dx + (1 + -4x2y) * dy = 0

Reorder the terms for easier multiplication:
dx(3x2 + -2y2) + (1 + -4x2y) * dy = 0
(3x2 * dx + -2y2 * dx) + (1 + -4x2y) * dy = 0

Reorder the terms:
(-2dxy2 + 3dx3) + (1 + -4x2y) * dy = 0
(-2dxy2 + 3dx3) + (1 + -4x2y) * dy = 0

Reorder the terms for easier multiplication:
-2dxy2 + 3dx3 + dy(1 + -4x2y) = 0
-2dxy2 + 3dx3 + (1 * dy + -4x2y * dy) = 0

Reorder the terms:
-2dxy2 + 3dx3 + (-4dx2y2 + 1dy) = 0
-2dxy2 + 3dx3 + (-4dx2y2 + 1dy) = 0

Reorder the terms:
-2dxy2 + -4dx2y2 + 3dx3 + 1dy = 0

Solving
-2dxy2 + -4dx2y2 + 3dx3 + 1dy = 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(-2xy2 + -4x2y2 + 3x3 + y) = 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 '(-2xy2 + -4x2y2 + 3x3 + y)' equal to zero and attempt to solve:

Simplifying
-2xy2 + -4x2y2 + 3x3 + y = 0

Solving
-2xy2 + -4x2y2 + 3x3 + y = 0

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

Add '2xy2' to each side of the equation.
-2xy2 + -4x2y2 + 3x3 + 2xy2 + y = 0 + 2xy2

Reorder the terms:
-2xy2 + 2xy2 + -4x2y2 + 3x3 + y = 0 + 2xy2

Combine like terms: -2xy2 + 2xy2 = 0
0 + -4x2y2 + 3x3 + y = 0 + 2xy2
-4x2y2 + 3x3 + y = 0 + 2xy2
Remove the zero:
-4x2y2 + 3x3 + y = 2xy2

Add '4x2y2' to each side of the equation.
-4x2y2 + 3x3 + 4x2y2 + y = 2xy2 + 4x2y2

Reorder the terms:
-4x2y2 + 4x2y2 + 3x3 + y = 2xy2 + 4x2y2

Combine like terms: -4x2y2 + 4x2y2 = 0
0 + 3x3 + y = 2xy2 + 4x2y2
3x3 + y = 2xy2 + 4x2y2

Add '-3x3' to each side of the equation.
3x3 + -3x3 + y = 2xy2 + 4x2y2 + -3x3

Combine like terms: 3x3 + -3x3 = 0
0 + y = 2xy2 + 4x2y2 + -3x3
y = 2xy2 + 4x2y2 + -3x3

Add '-1y' to each side of the equation.
y + -1y = 2xy2 + 4x2y2 + -3x3 + -1y

Combine like terms: y + -1y = 0
0 = 2xy2 + 4x2y2 + -3x3 + -1y

Simplifying
0 = 2xy2 + 4x2y2 + -3x3 + -1y

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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