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Simplifying 3xy + 2dx + x2dy = 0 Reorder the terms: 2dx + dx2y + 3xy = 0 Solving 2dx + dx2y + 3xy = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3xy' to each side of the equation. 2dx + dx2y + 3xy + -3xy = 0 + -3xy Combine like terms: 3xy + -3xy = 0 2dx + dx2y + 0 = 0 + -3xy 2dx + dx2y = 0 + -3xy Remove the zero: 2dx + dx2y = -3xy Combine like terms: -3xy + 3xy = 0 2dx + dx2y + 3xy = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2d + dxy + 3y) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 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 = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(2d + dxy + 3y)' equal to zero and attempt to solve: Simplifying 2d + dxy + 3y = 0 Solving 2d + dxy + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-3y' to each side of the equation. 2d + dxy + 3y + -3y = 0 + -3y Combine like terms: 3y + -3y = 0 2d + dxy + 0 = 0 + -3y 2d + dxy = 0 + -3y Remove the zero: 2d + dxy = -3y 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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