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

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


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

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

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

Reorder the terms:
(3dxy2 + -3dx2y4) + (y2 + -6x2y3) * dy = 0
(3dxy2 + -3dx2y4) + (y2 + -6x2y3) * dy = 0

Reorder the terms:
3dxy2 + -3dx2y4 + (-6x2y3 + y2) * dy = 0

Reorder the terms for easier multiplication:
3dxy2 + -3dx2y4 + dy(-6x2y3 + y2) = 0
3dxy2 + -3dx2y4 + (-6x2y3 * dy + y2 * dy) = 0
3dxy2 + -3dx2y4 + (-6dx2y4 + dy3) = 0

Combine like terms: -3dx2y4 + -6dx2y4 = -9dx2y4
3dxy2 + -9dx2y4 + dy3 = 0

Solving
3dxy2 + -9dx2y4 + 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), 'dy2'.
dy2(3x + -9x2y2 + y) = 0


Subproblem 1
Set the factor 'dy2' equal to zero and attempt to solve:

Simplifying
dy2 = 0

Solving
dy2 = 0

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

Simplifying
dy2 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(3x + -9x2y2 + y)' equal to zero and attempt to solve:

Simplifying
3x + -9x2y2 + y = 0

Solving
3x + -9x2y2 + y = 0

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

Add '-3x' to each side of the equation.
3x + -9x2y2 + -3x + y = 0 + -3x

Reorder the terms:
3x + -3x + -9x2y2 + y = 0 + -3x

Combine like terms: 3x + -3x = 0
0 + -9x2y2 + y = 0 + -3x
-9x2y2 + y = 0 + -3x
Remove the zero:
-9x2y2 + y = -3x

Add '9x2y2' to each side of the equation.
-9x2y2 + 9x2y2 + y = -3x + 9x2y2

Combine like terms: -9x2y2 + 9x2y2 = 0
0 + y = -3x + 9x2y2
y = -3x + 9x2y2

Add '-1y' to each side of the equation.
y + -1y = -3x + 9x2y2 + -1y

Combine like terms: y + -1y = 0
0 = -3x + 9x2y2 + -1y

Simplifying
0 = -3x + 9x2y2 + -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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