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

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


Simplifying
(3x4 + 4y) * dx + (-4x + -4y4) * dy = 0

Reorder the terms for easier multiplication:
dx(3x4 + 4y) + (-4x + -4y4) * dy = 0
(3x4 * dx + 4y * dx) + (-4x + -4y4) * dy = 0

Reorder the terms:
(4dxy + 3dx5) + (-4x + -4y4) * dy = 0
(4dxy + 3dx5) + (-4x + -4y4) * dy = 0

Reorder the terms for easier multiplication:
4dxy + 3dx5 + dy(-4x + -4y4) = 0
4dxy + 3dx5 + (-4x * dy + -4y4 * dy) = 0
4dxy + 3dx5 + (-4dxy + -4dy5) = 0

Reorder the terms:
4dxy + -4dxy + 3dx5 + -4dy5 = 0

Combine like terms: 4dxy + -4dxy = 0
0 + 3dx5 + -4dy5 = 0
3dx5 + -4dy5 = 0

Solving
3dx5 + -4dy5 = 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(3x5 + -4y5) = 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 '(3x5 + -4y5)' equal to zero and attempt to solve:

Simplifying
3x5 + -4y5 = 0

Solving
3x5 + -4y5 = 0

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

Add '-3x5' to each side of the equation.
3x5 + -3x5 + -4y5 = 0 + -3x5

Combine like terms: 3x5 + -3x5 = 0
0 + -4y5 = 0 + -3x5
-4y5 = 0 + -3x5
Remove the zero:
-4y5 = -3x5

Add '4y5' to each side of the equation.
-4y5 + 4y5 = -3x5 + 4y5

Combine like terms: -4y5 + 4y5 = 0
0 = -3x5 + 4y5

Simplifying
0 = -3x5 + 4y5

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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