5dx+(-15x-4y+6y^2)dy=0

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Solution for 5dx+(-15x-4y+6y^2)dy=0 equation: 


Simplifying
5dx + (-15x + -4y + 6y2) * dy = 0

Reorder the terms for easier multiplication:
5dx + dy(-15x + -4y + 6y2) = 0
5dx + (-15x * dy + -4y * dy + 6y2 * dy) = 0
5dx + (-15dxy + -4dy2 + 6dy3) = 0

Solving
5dx + -15dxy + -4dy2 + 6dy3 = 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(5x + -15xy + -4y2 + 6y3) = 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 '(5x + -15xy + -4y2 + 6y3)' equal to zero and attempt to solve:

Simplifying
5x + -15xy + -4y2 + 6y3 = 0

Solving
5x + -15xy + -4y2 + 6y3 = 0

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

Add '-5x' to each side of the equation.
5x + -15xy + -4y2 + -5x + 6y3 = 0 + -5x

Reorder the terms:
5x + -5x + -15xy + -4y2 + 6y3 = 0 + -5x

Combine like terms: 5x + -5x = 0
0 + -15xy + -4y2 + 6y3 = 0 + -5x
-15xy + -4y2 + 6y3 = 0 + -5x
Remove the zero:
-15xy + -4y2 + 6y3 = -5x

Add '15xy' to each side of the equation.
-15xy + -4y2 + 15xy + 6y3 = -5x + 15xy

Reorder the terms:
-15xy + 15xy + -4y2 + 6y3 = -5x + 15xy

Combine like terms: -15xy + 15xy = 0
0 + -4y2 + 6y3 = -5x + 15xy
-4y2 + 6y3 = -5x + 15xy

Add '4y2' to each side of the equation.
-4y2 + 4y2 + 6y3 = -5x + 15xy + 4y2

Combine like terms: -4y2 + 4y2 = 0
0 + 6y3 = -5x + 15xy + 4y2
6y3 = -5x + 15xy + 4y2

Add '-6y3' to each side of the equation.
6y3 + -6y3 = -5x + 15xy + 4y2 + -6y3

Combine like terms: 6y3 + -6y3 = 0
0 = -5x + 15xy + 4y2 + -6y3

Simplifying
0 = -5x + 15xy + 4y2 + -6y3

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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