(3x^2-3xy^4)dx+(y^2-6x^2y^3)dy=0

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Solution for (3x^2-3xy^4)dx+(y^2-6x^2y^3)dy=0 equation: 


Simplifying
(3x2 + -3xy4) * dx + (y2 + -6x2y3) * dy = 0

Reorder the terms:
(-3xy4 + 3x2) * dx + (y2 + -6x2y3) * dy = 0

Reorder the terms for easier multiplication:
dx(-3xy4 + 3x2) + (y2 + -6x2y3) * dy = 0
(-3xy4 * dx + 3x2 * dx) + (y2 + -6x2y3) * dy = 0
(-3dx2y4 + 3dx3) + (y2 + -6x2y3) * dy = 0

Reorder the terms:
-3dx2y4 + 3dx3 + (-6x2y3 + y2) * dy = 0

Reorder the terms for easier multiplication:
-3dx2y4 + 3dx3 + dy(-6x2y3 + y2) = 0
-3dx2y4 + 3dx3 + (-6x2y3 * dy + y2 * dy) = 0
-3dx2y4 + 3dx3 + (-6dx2y4 + dy3) = 0

Reorder the terms:
-3dx2y4 + -6dx2y4 + 3dx3 + dy3 = 0

Combine like terms: -3dx2y4 + -6dx2y4 = -9dx2y4
-9dx2y4 + 3dx3 + dy3 = 0

Solving
-9dx2y4 + 3dx3 + dy3 = 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(-9x2y4 + 3x3 + y3) = 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 '(-9x2y4 + 3x3 + y3)' equal to zero and attempt to solve:

Simplifying
-9x2y4 + 3x3 + y3 = 0

Solving
-9x2y4 + 3x3 + y3 = 0

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

Add '9x2y4' to each side of the equation.
-9x2y4 + 3x3 + 9x2y4 + y3 = 0 + 9x2y4

Reorder the terms:
-9x2y4 + 9x2y4 + 3x3 + y3 = 0 + 9x2y4

Combine like terms: -9x2y4 + 9x2y4 = 0
0 + 3x3 + y3 = 0 + 9x2y4
3x3 + y3 = 0 + 9x2y4
Remove the zero:
3x3 + y3 = 9x2y4

Add '-3x3' to each side of the equation.
3x3 + -3x3 + y3 = 9x2y4 + -3x3

Combine like terms: 3x3 + -3x3 = 0
0 + y3 = 9x2y4 + -3x3
y3 = 9x2y4 + -3x3

Add '-1y3' to each side of the equation.
y3 + -1y3 = 9x2y4 + -3x3 + -1y3

Combine like terms: y3 + -1y3 = 0
0 = 9x2y4 + -3x3 + -1y3

Simplifying
0 = 9x2y4 + -3x3 + -1y3

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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