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

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


Simplifying
(-2x4 + -3y) * dx + (-3x + -1y4) * dy = 0

Reorder the terms for easier multiplication:
dx(-2x4 + -3y) + (-3x + -1y4) * dy = 0
(-2x4 * dx + -3y * dx) + (-3x + -1y4) * dy = 0

Reorder the terms:
(-3dxy + -2dx5) + (-3x + -1y4) * dy = 0
(-3dxy + -2dx5) + (-3x + -1y4) * dy = 0

Reorder the terms for easier multiplication:
-3dxy + -2dx5 + dy(-3x + -1y4) = 0
-3dxy + -2dx5 + (-3x * dy + -1y4 * dy) = 0
-3dxy + -2dx5 + (-3dxy + -1dy5) = 0

Reorder the terms:
-3dxy + -3dxy + -2dx5 + -1dy5 = 0

Combine like terms: -3dxy + -3dxy = -6dxy
-6dxy + -2dx5 + -1dy5 = 0

Solving
-6dxy + -2dx5 + -1dy5 = 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), '-1d'.
-1d(6xy + 2x5 + y5) = 0

Ignore the factor -1.

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 '(6xy + 2x5 + y5)' equal to zero and attempt to solve:

Simplifying
6xy + 2x5 + y5 = 0

Solving
6xy + 2x5 + y5 = 0

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

Add '-6xy' to each side of the equation.
6xy + 2x5 + -6xy + y5 = 0 + -6xy

Reorder the terms:
6xy + -6xy + 2x5 + y5 = 0 + -6xy

Combine like terms: 6xy + -6xy = 0
0 + 2x5 + y5 = 0 + -6xy
2x5 + y5 = 0 + -6xy
Remove the zero:
2x5 + y5 = -6xy

Add '-2x5' to each side of the equation.
2x5 + -2x5 + y5 = -6xy + -2x5

Combine like terms: 2x5 + -2x5 = 0
0 + y5 = -6xy + -2x5
y5 = -6xy + -2x5

Add '-1y5' to each side of the equation.
y5 + -1y5 = -6xy + -2x5 + -1y5

Combine like terms: y5 + -1y5 = 0
0 = -6xy + -2x5 + -1y5

Simplifying
0 = -6xy + -2x5 + -1y5

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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