dx-(8xy+3y)dy=0

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Solution for dx-(8xy+3y)dy=0 equation: 


Simplifying
dx + -1(8xy + 3y) * dy = 0

Reorder the terms for easier multiplication:
dx + -1dy(8xy + 3y) = 0
dx + (8xy * -1dy + 3y * -1dy) = 0
dx + (-8dxy2 + -3dy2) = 0

Solving
dx + -8dxy2 + -3dy2 = 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(x + -8xy2 + -3y2) = 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 '(x + -8xy2 + -3y2)' equal to zero and attempt to solve:

Simplifying
x + -8xy2 + -3y2 = 0

Solving
x + -8xy2 + -3y2 = 0

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

Add '-1x' to each side of the equation.
x + -8xy2 + -1x + -3y2 = 0 + -1x

Reorder the terms:
x + -1x + -8xy2 + -3y2 = 0 + -1x

Combine like terms: x + -1x = 0
0 + -8xy2 + -3y2 = 0 + -1x
-8xy2 + -3y2 = 0 + -1x
Remove the zero:
-8xy2 + -3y2 = -1x

Add '8xy2' to each side of the equation.
-8xy2 + 8xy2 + -3y2 = -1x + 8xy2

Combine like terms: -8xy2 + 8xy2 = 0
0 + -3y2 = -1x + 8xy2
-3y2 = -1x + 8xy2

Add '3y2' to each side of the equation.
-3y2 + 3y2 = -1x + 8xy2 + 3y2

Combine like terms: -3y2 + 3y2 = 0
0 = -1x + 8xy2 + 3y2

Simplifying
0 = -1x + 8xy2 + 3y2

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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