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

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


Simplifying
(X + -4) * y3dx + -1x4(y2 + -3) * dy = 0

Reorder the terms:
(-4 + X) * y3dx + -1x4(y2 + -3) * dy = 0

Reorder the terms for easier multiplication:
dxy3(-4 + X) + -1x4(y2 + -3) * dy = 0
(-4 * dxy3 + X * dxy3) + -1x4(y2 + -3) * dy = 0
(-4dxy3 + dxy3X) + -1x4(y2 + -3) * dy = 0

Reorder the terms:
-4dxy3 + dxy3X + -1x4(-3 + y2) * dy = 0

Reorder the terms for easier multiplication:
-4dxy3 + dxy3X + -1x4 * dy(-3 + y2) = 0

Multiply x4 * dy
-4dxy3 + dxy3X + -1dx4y(-3 + y2) = 0
-4dxy3 + dxy3X + (-3 * -1dx4y + y2 * -1dx4y) = 0
-4dxy3 + dxy3X + (3dx4y + -1dx4y3) = 0

Solving
-4dxy3 + dxy3X + 3dx4y + -1dx4y3 = 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), 'dxy'.
dxy(-4y2 + y2X + 3x3 + -1x3y2) = 0


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

Simplifying
dxy = 0

Solving
dxy = 0

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

Simplifying
dxy = 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 '(-4y2 + y2X + 3x3 + -1x3y2)' equal to zero and attempt to solve:

Simplifying
-4y2 + y2X + 3x3 + -1x3y2 = 0

Reorder the terms:
3x3 + -1x3y2 + -4y2 + y2X = 0

Solving
3x3 + -1x3y2 + -4y2 + y2X = 0

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

Add '-3x3' to each side of the equation.
3x3 + -1x3y2 + -4y2 + -3x3 + y2X = 0 + -3x3

Reorder the terms:
3x3 + -3x3 + -1x3y2 + -4y2 + y2X = 0 + -3x3

Combine like terms: 3x3 + -3x3 = 0
0 + -1x3y2 + -4y2 + y2X = 0 + -3x3
-1x3y2 + -4y2 + y2X = 0 + -3x3
Remove the zero:
-1x3y2 + -4y2 + y2X = -3x3

Add 'x3y2' to each side of the equation.
-1x3y2 + -4y2 + x3y2 + y2X = -3x3 + x3y2

Reorder the terms:
-1x3y2 + x3y2 + -4y2 + y2X = -3x3 + x3y2

Combine like terms: -1x3y2 + x3y2 = 0
0 + -4y2 + y2X = -3x3 + x3y2
-4y2 + y2X = -3x3 + x3y2

Add '4y2' to each side of the equation.
-4y2 + 4y2 + y2X = -3x3 + x3y2 + 4y2

Combine like terms: -4y2 + 4y2 = 0
0 + y2X = -3x3 + x3y2 + 4y2
y2X = -3x3 + x3y2 + 4y2

Add '-1y2X' to each side of the equation.
y2X + -1y2X = -3x3 + x3y2 + 4y2 + -1y2X

Combine like terms: y2X + -1y2X = 0
0 = -3x3 + x3y2 + 4y2 + -1y2X

Simplifying
0 = -3x3 + x3y2 + 4y2 + -1y2X

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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