(5xy^3-10y)dx+2dy=0

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Solution for (5xy^3-10y)dx+2dy=0 equation: 


Simplifying
(5xy3 + -10y) * dx + 2dy = 0

Reorder the terms for easier multiplication:
dx(5xy3 + -10y) + 2dy = 0
(5xy3 * dx + -10y * dx) + 2dy = 0

Reorder the terms:
(-10dxy + 5dx2y3) + 2dy = 0
(-10dxy + 5dx2y3) + 2dy = 0

Solving
-10dxy + 5dx2y3 + 2dy = 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), 'dy'.
dy(-10x + 5x2y2 + 2) = 0


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

Simplifying
dy = 0

Solving
dy = 0

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

Simplifying
dy = 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 '(-10x + 5x2y2 + 2)' equal to zero and attempt to solve:

Simplifying
-10x + 5x2y2 + 2 = 0

Reorder the terms:
2 + -10x + 5x2y2 = 0

Solving
2 + -10x + 5x2y2 = 0

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

Add '-2' to each side of the equation.
2 + -10x + -2 + 5x2y2 = 0 + -2

Reorder the terms:
2 + -2 + -10x + 5x2y2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -10x + 5x2y2 = 0 + -2
-10x + 5x2y2 = 0 + -2

Combine like terms: 0 + -2 = -2
-10x + 5x2y2 = -2

Add '10x' to each side of the equation.
-10x + 10x + 5x2y2 = -2 + 10x

Combine like terms: -10x + 10x = 0
0 + 5x2y2 = -2 + 10x
5x2y2 = -2 + 10x

Add '-5x2y2' to each side of the equation.
5x2y2 + -5x2y2 = -2 + 10x + -5x2y2

Combine like terms: 5x2y2 + -5x2y2 = 0
0 = -2 + 10x + -5x2y2

Simplifying
0 = -2 + 10x + -5x2y2

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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