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

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


Simplifying
(-2x2 + -3y) * dx + (-3x + -2y3) * dy = 0

Reorder the terms for easier multiplication:
dx(-2x2 + -3y) + (-3x + -2y3) * dy = 0
(-2x2 * dx + -3y * dx) + (-3x + -2y3) * dy = 0

Reorder the terms:
(-3dxy + -2dx3) + (-3x + -2y3) * dy = 0
(-3dxy + -2dx3) + (-3x + -2y3) * dy = 0

Reorder the terms for easier multiplication:
-3dxy + -2dx3 + dy(-3x + -2y3) = 0
-3dxy + -2dx3 + (-3x * dy + -2y3 * dy) = 0
-3dxy + -2dx3 + (-3dxy + -2dy4) = 0

Reorder the terms:
-3dxy + -3dxy + -2dx3 + -2dy4 = 0

Combine like terms: -3dxy + -3dxy = -6dxy
-6dxy + -2dx3 + -2dy4 = 0

Solving
-6dxy + -2dx3 + -2dy4 = 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), '-2d'.
-2d(3xy + x3 + y4) = 0

Ignore the factor -2.

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 '(3xy + x3 + y4)' equal to zero and attempt to solve:

Simplifying
3xy + x3 + y4 = 0

Solving
3xy + x3 + y4 = 0

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

Add '-3xy' to each side of the equation.
3xy + x3 + -3xy + y4 = 0 + -3xy

Reorder the terms:
3xy + -3xy + x3 + y4 = 0 + -3xy

Combine like terms: 3xy + -3xy = 0
0 + x3 + y4 = 0 + -3xy
x3 + y4 = 0 + -3xy
Remove the zero:
x3 + y4 = -3xy

Add '-1x3' to each side of the equation.
x3 + -1x3 + y4 = -3xy + -1x3

Combine like terms: x3 + -1x3 = 0
0 + y4 = -3xy + -1x3
y4 = -3xy + -1x3

Add '-1y4' to each side of the equation.
y4 + -1y4 = -3xy + -1x3 + -1y4

Combine like terms: y4 + -1y4 = 0
0 = -3xy + -1x3 + -1y4

Simplifying
0 = -3xy + -1x3 + -1y4

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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