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Simplifying (4xy + -3y2) * dx + (2xy + -2x2) * dy = 0 Reorder the terms for easier multiplication: dx(4xy + -3y2) + (2xy + -2x2) * dy = 0 (4xy * dx + -3y2 * dx) + (2xy + -2x2) * dy = 0 Reorder the terms: (-3dxy2 + 4dx2y) + (2xy + -2x2) * dy = 0 (-3dxy2 + 4dx2y) + (2xy + -2x2) * dy = 0 Reorder the terms for easier multiplication: -3dxy2 + 4dx2y + dy(2xy + -2x2) = 0 -3dxy2 + 4dx2y + (2xy * dy + -2x2 * dy) = 0 -3dxy2 + 4dx2y + (2dxy2 + -2dx2y) = 0 Reorder the terms: -3dxy2 + 2dxy2 + 4dx2y + -2dx2y = 0 Combine like terms: -3dxy2 + 2dxy2 = -1dxy2 -1dxy2 + 4dx2y + -2dx2y = 0 Combine like terms: 4dx2y + -2dx2y = 2dx2y -1dxy2 + 2dx2y = 0 Solving -1dxy2 + 2dx2y = 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), 'dxy'. dxy(-1y + 2x) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 + 2x)' equal to zero and attempt to solve: Simplifying -1y + 2x = 0 Reorder the terms: 2x + -1y = 0 Solving 2x + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + -1y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + -1y = 0 + -2x -1y = 0 + -2x Remove the zero: -1y = -2x Add 'y' to each side of the equation. -1y + y = -2x + y Combine like terms: -1y + y = 0 0 = -2x + y Simplifying 0 = -2x + 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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