(6X^2Y-1)DX+2X^3DY=0

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Solution for (6X^2Y-1)DX+2X^3DY=0 equation:


Simplifying
(6X2Y + -1) * DX + 2X3DY = 0

Reorder the terms:
(-1 + 6X2Y) * DX + 2X3DY = 0

Reorder the terms for easier multiplication:
DX(-1 + 6X2Y) + 2X3DY = 0
(-1 * DX + 6X2Y * DX) + 2X3DY = 0
(-1DX + 6DX3Y) + 2X3DY = 0

Combine like terms: 6DX3Y + 2DX3Y = 8DX3Y
-1DX + 8DX3Y = 0

Solving
-1DX + 8DX3Y = 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 + 8X2Y) = 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 + 8X2Y)' equal to zero and attempt to solve: Simplifying -1 + 8X2Y = 0 Solving -1 + 8X2Y = 0 Move all terms containing D to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 8X2Y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 8X2Y = 0 + 1 8X2Y = 0 + 1 Combine like terms: 0 + 1 = 1 8X2Y = 1 Add '-8X2Y' to each side of the equation. 8X2Y + -8X2Y = 1 + -8X2Y Combine like terms: 8X2Y + -8X2Y = 0 0 = 1 + -8X2Y Simplifying 0 = 1 + -8X2Y 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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