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

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


Simplifying
(2x2 + -4y) * dx + (-4x + -1y4) * dy = 0

Reorder the terms for easier multiplication:
dx(2x2 + -4y) + (-4x + -1y4) * dy = 0
(2x2 * dx + -4y * dx) + (-4x + -1y4) * dy = 0

Reorder the terms:
(-4dxy + 2dx3) + (-4x + -1y4) * dy = 0
(-4dxy + 2dx3) + (-4x + -1y4) * dy = 0

Reorder the terms for easier multiplication:
-4dxy + 2dx3 + dy(-4x + -1y4) = 0
-4dxy + 2dx3 + (-4x * dy + -1y4 * dy) = 0
-4dxy + 2dx3 + (-4dxy + -1dy5) = 0

Reorder the terms:
-4dxy + -4dxy + 2dx3 + -1dy5 = 0

Combine like terms: -4dxy + -4dxy = -8dxy
-8dxy + 2dx3 + -1dy5 = 0

Solving
-8dxy + 2dx3 + -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), 'd'.
d(-8xy + 2x3 + -1y5) = 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 '(-8xy + 2x3 + -1y5)' equal to zero and attempt to solve:

Simplifying
-8xy + 2x3 + -1y5 = 0

Solving
-8xy + 2x3 + -1y5 = 0

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

Add '8xy' to each side of the equation.
-8xy + 2x3 + 8xy + -1y5 = 0 + 8xy

Reorder the terms:
-8xy + 8xy + 2x3 + -1y5 = 0 + 8xy

Combine like terms: -8xy + 8xy = 0
0 + 2x3 + -1y5 = 0 + 8xy
2x3 + -1y5 = 0 + 8xy
Remove the zero:
2x3 + -1y5 = 8xy

Add '-2x3' to each side of the equation.
2x3 + -2x3 + -1y5 = 8xy + -2x3

Combine like terms: 2x3 + -2x3 = 0
0 + -1y5 = 8xy + -2x3
-1y5 = 8xy + -2x3

Add 'y5' to each side of the equation.
-1y5 + y5 = 8xy + -2x3 + y5

Combine like terms: -1y5 + y5 = 0
0 = 8xy + -2x3 + y5

Simplifying
0 = 8xy + -2x3 + y5

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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