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Simplifying (2x + -3y) * dx + xdy = 0 Reorder the terms for easier multiplication: dx(2x + -3y) + xdy = 0 (2x * dx + -3y * dx) + xdy = 0 Reorder the terms: (-3dxy + 2dx2) + xdy = 0 (-3dxy + 2dx2) + xdy = 0 Reorder the terms: -3dxy + dxy + 2dx2 = 0 Combine like terms: -3dxy + dxy = -2dxy -2dxy + 2dx2 = 0 Solving -2dxy + 2dx2 = 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), '2dx'. 2dx(-1y + x) = 0 Ignore the factor 2.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 '(-1y + x)' equal to zero and attempt to solve: Simplifying -1y + x = 0 Reorder the terms: x + -1y = 0 Solving x + -1y = 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 + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + -1y = 0 + -1x -1y = 0 + -1x Remove the zero: -1y = -1x Add 'y' to each side of the equation. -1y + y = -1x + y Combine like terms: -1y + y = 0 0 = -1x + y Simplifying 0 = -1x + y 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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