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