(5x^4*y^4+28x^6)dx+(4x^5y^3-3y^2)dy=0

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Solution for (5x^4*y^4+28x^6)dx+(4x^5y^3-3y^2)dy=0 equation: 


Simplifying
(5x4 * y4 + 28x6) * dx + (4x5y3 + -3y2) * dy = 0

Multiply x4 * y4
(5x4y4 + 28x6) * dx + (4x5y3 + -3y2) * dy = 0

Reorder the terms for easier multiplication:
dx(5x4y4 + 28x6) + (4x5y3 + -3y2) * dy = 0
(5x4y4 * dx + 28x6 * dx) + (4x5y3 + -3y2) * dy = 0
(5dx5y4 + 28dx7) + (4x5y3 + -3y2) * dy = 0

Reorder the terms for easier multiplication:
5dx5y4 + 28dx7 + dy(4x5y3 + -3y2) = 0
5dx5y4 + 28dx7 + (4x5y3 * dy + -3y2 * dy) = 0
5dx5y4 + 28dx7 + (4dx5y4 + -3dy3) = 0

Reorder the terms:
5dx5y4 + 4dx5y4 + 28dx7 + -3dy3 = 0

Combine like terms: 5dx5y4 + 4dx5y4 = 9dx5y4
9dx5y4 + 28dx7 + -3dy3 = 0

Solving
9dx5y4 + 28dx7 + -3dy3 = 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(9x5y4 + 28x7 + -3y3) = 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 '(9x5y4 + 28x7 + -3y3)' equal to zero and attempt to solve:

Simplifying
9x5y4 + 28x7 + -3y3 = 0

Solving
9x5y4 + 28x7 + -3y3 = 0

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

Add '-9x5y4' to each side of the equation.
9x5y4 + 28x7 + -9x5y4 + -3y3 = 0 + -9x5y4

Reorder the terms:
9x5y4 + -9x5y4 + 28x7 + -3y3 = 0 + -9x5y4

Combine like terms: 9x5y4 + -9x5y4 = 0
0 + 28x7 + -3y3 = 0 + -9x5y4
28x7 + -3y3 = 0 + -9x5y4
Remove the zero:
28x7 + -3y3 = -9x5y4

Add '-28x7' to each side of the equation.
28x7 + -28x7 + -3y3 = -9x5y4 + -28x7

Combine like terms: 28x7 + -28x7 = 0
0 + -3y3 = -9x5y4 + -28x7
-3y3 = -9x5y4 + -28x7

Add '3y3' to each side of the equation.
-3y3 + 3y3 = -9x5y4 + -28x7 + 3y3

Combine like terms: -3y3 + 3y3 = 0
0 = -9x5y4 + -28x7 + 3y3

Simplifying
0 = -9x5y4 + -28x7 + 3y3

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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