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