(2Y-3X)DX+XDY=0

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Solution for (2Y-3X)DX+XDY=0 equation:


Simplifying
(2Y + -3X) * DX + XDY = 0

Reorder the terms:
(-3X + 2Y) * DX + XDY = 0

Reorder the terms for easier multiplication:
DX(-3X + 2Y) + XDY = 0
(-3X * DX + 2Y * DX) + XDY = 0

Reorder the terms:
(2DXY + -3DX2) + XDY = 0
(2DXY + -3DX2) + XDY = 0

Reorder the terms:
2DXY + DXY + -3DX2 = 0

Combine like terms: 2DXY + DXY = 3DXY
3DXY + -3DX2 = 0

Solving
3DXY + -3DX2 = 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), '3DX'.
3DX(Y + -1X) = 0

Ignore the factor 3.

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 '(Y + -1X)' equal to zero and attempt to solve: Simplifying Y + -1X = 0 Reorder the terms: -1X + Y = 0 Solving -1X + Y = 0 Move all terms containing D to the left, all other terms to the right. Add 'X' to each side of the equation. -1X + X + Y = 0 + X Combine like terms: -1X + X = 0 0 + Y = 0 + X Y = 0 + X Remove the zero: Y = X Add '-1Y' to each side of the equation. Y + -1Y = X + -1Y Combine like terms: Y + -1Y = 0 0 = X + -1Y Simplifying 0 = X + -1Y 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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