(x^2-y^2)dx+(x^2-2xy)dx=0

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Solution for (x^2-y^2)dx+(x^2-2xy)dx=0 equation: 


Simplifying
(x2 + -1y2) * dx + (x2 + -2xy) * dx = 0

Reorder the terms for easier multiplication:
dx(x2 + -1y2) + (x2 + -2xy) * dx = 0
(x2 * dx + -1y2 * dx) + (x2 + -2xy) * dx = 0

Reorder the terms:
(-1dxy2 + dx3) + (x2 + -2xy) * dx = 0
(-1dxy2 + dx3) + (x2 + -2xy) * dx = 0

Reorder the terms:
-1dxy2 + dx3 + (-2xy + x2) * dx = 0

Reorder the terms for easier multiplication:
-1dxy2 + dx3 + dx(-2xy + x2) = 0
-1dxy2 + dx3 + (-2xy * dx + x2 * dx) = 0
-1dxy2 + dx3 + (-2dx2y + dx3) = 0

Reorder the terms:
-1dxy2 + -2dx2y + dx3 + dx3 = 0

Combine like terms: dx3 + dx3 = 2dx3
-1dxy2 + -2dx2y + 2dx3 = 0

Solving
-1dxy2 + -2dx2y + 2dx3 = 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(-1y2 + -2xy + 2x2) = 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 '(-1y2 + -2xy + 2x2)' equal to zero and attempt to solve:

Simplifying
-1y2 + -2xy + 2x2 = 0

Reorder the terms:
-2xy + 2x2 + -1y2 = 0

Solving
-2xy + 2x2 + -1y2 = 0

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

Add '2xy' to each side of the equation.
-2xy + 2x2 + 2xy + -1y2 = 0 + 2xy

Reorder the terms:
-2xy + 2xy + 2x2 + -1y2 = 0 + 2xy

Combine like terms: -2xy + 2xy = 0
0 + 2x2 + -1y2 = 0 + 2xy
2x2 + -1y2 = 0 + 2xy
Remove the zero:
2x2 + -1y2 = 2xy

Add '-2x2' to each side of the equation.
2x2 + -2x2 + -1y2 = 2xy + -2x2

Combine like terms: 2x2 + -2x2 = 0
0 + -1y2 = 2xy + -2x2
-1y2 = 2xy + -2x2

Add 'y2' to each side of the equation.
-1y2 + y2 = 2xy + -2x2 + y2

Combine like terms: -1y2 + y2 = 0
0 = 2xy + -2x2 + y2

Simplifying
0 = 2xy + -2x2 + y2

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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