(x^5y^5-1)dx+(x^6y^4+xy^3)dy=0

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Solution for (x^5y^5-1)dx+(x^6y^4+xy^3)dy=0 equation: 


Simplifying
(x5y5 + -1) * dx + (x6y4 + xy3) * dy = 0

Reorder the terms:
(-1 + x5y5) * dx + (x6y4 + xy3) * dy = 0

Reorder the terms for easier multiplication:
dx(-1 + x5y5) + (x6y4 + xy3) * dy = 0
(-1 * dx + x5y5 * dx) + (x6y4 + xy3) * dy = 0
(-1dx + dx6y5) + (x6y4 + xy3) * dy = 0

Reorder the terms:
-1dx + dx6y5 + (xy3 + x6y4) * dy = 0

Reorder the terms for easier multiplication:
-1dx + dx6y5 + dy(xy3 + x6y4) = 0
-1dx + dx6y5 + (xy3 * dy + x6y4 * dy) = 0
-1dx + dx6y5 + (dxy4 + dx6y5) = 0

Reorder the terms:
-1dx + dxy4 + dx6y5 + dx6y5 = 0

Combine like terms: dx6y5 + dx6y5 = 2dx6y5
-1dx + dxy4 + 2dx6y5 = 0

Solving
-1dx + dxy4 + 2dx6y5 = 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), 'dx'.
dx(-1 + y4 + 2x5y5) = 0


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

Simplifying
dx = 0

Solving
dx = 0

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

Simplifying
dx = 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 '(-1 + y4 + 2x5y5)' equal to zero and attempt to solve:

Simplifying
-1 + y4 + 2x5y5 = 0

Reorder the terms:
-1 + 2x5y5 + y4 = 0

Solving
-1 + 2x5y5 + y4 = 0

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

Add '1' to each side of the equation.
-1 + 2x5y5 + 1 + y4 = 0 + 1

Reorder the terms:
-1 + 1 + 2x5y5 + y4 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2x5y5 + y4 = 0 + 1
2x5y5 + y4 = 0 + 1

Combine like terms: 0 + 1 = 1
2x5y5 + y4 = 1

Add '-2x5y5' to each side of the equation.
2x5y5 + -2x5y5 + y4 = 1 + -2x5y5

Combine like terms: 2x5y5 + -2x5y5 = 0
0 + y4 = 1 + -2x5y5
y4 = 1 + -2x5y5

Add '-1y4' to each side of the equation.
y4 + -1y4 = 1 + -2x5y5 + -1y4

Combine like terms: y4 + -1y4 = 0
0 = 1 + -2x5y5 + -1y4

Simplifying
0 = 1 + -2x5y5 + -1y4

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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