(4x-3y)dx+(2y-3x)=0

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Solution for (4x-3y)dx+(2y-3x)=0 equation:


Simplifying
(4x + -3y) * dx + (2y + -3x) = 0

Reorder the terms for easier multiplication:
dx(4x + -3y) + (2y + -3x) = 0
(4x * dx + -3y * dx) + (2y + -3x) = 0

Reorder the terms:
(-3dxy + 4dx2) + (2y + -3x) = 0
(-3dxy + 4dx2) + (2y + -3x) = 0

Reorder the terms:
-3dxy + 4dx2 + (-3x + 2y) = 0

Remove parenthesis around (-3x + 2y)
-3dxy + 4dx2 + -3x + 2y = 0

Solving
-3dxy + 4dx2 + -3x + 2y = 0

Solving for variable 'd'.

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

Add '3x' to each side of the equation.
-3dxy + 4dx2 + -3x + 3x + 2y = 0 + 3x

Combine like terms: -3x + 3x = 0
-3dxy + 4dx2 + 0 + 2y = 0 + 3x
-3dxy + 4dx2 + 2y = 0 + 3x
Remove the zero:
-3dxy + 4dx2 + 2y = 3x

Add '-2y' to each side of the equation.
-3dxy + 4dx2 + 2y + -2y = 3x + -2y

Combine like terms: 2y + -2y = 0
-3dxy + 4dx2 + 0 = 3x + -2y
-3dxy + 4dx2 = 3x + -2y

Reorder the terms:
-3dxy + 4dx2 + -3x + 2y = 3x + -3x + -2y + 2y

Combine like terms: 3x + -3x = 0
-3dxy + 4dx2 + -3x + 2y = 0 + -2y + 2y
-3dxy + 4dx2 + -3x + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
-3dxy + 4dx2 + -3x + 2y = 0

The solution to this equation could not be determined.

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