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Simplifying (y3 + -3y3 * x) * dx + (-2x2 + y * x2) * dy = 0 Multiply y3 * x (y3 + -3xy3) * dx + (-2x2 + y * x2) * dy = 0 Reorder the terms: (-3xy3 + y3) * dx + (-2x2 + y * x2) * dy = 0 Reorder the terms for easier multiplication: dx(-3xy3 + y3) + (-2x2 + y * x2) * dy = 0 (-3xy3 * dx + y3 * dx) + (-2x2 + y * x2) * dy = 0 Reorder the terms: (dxy3 + -3dx2y3) + (-2x2 + y * x2) * dy = 0 (dxy3 + -3dx2y3) + (-2x2 + y * x2) * dy = 0 Multiply y * x2 dxy3 + -3dx2y3 + (-2x2 + x2y) * dy = 0 Reorder the terms for easier multiplication: dxy3 + -3dx2y3 + dy(-2x2 + x2y) = 0 dxy3 + -3dx2y3 + (-2x2 * dy + x2y * dy) = 0 dxy3 + -3dx2y3 + (-2dx2y + dx2y2) = 0 Reorder the terms: dxy3 + -2dx2y + dx2y2 + -3dx2y3 = 0 Solving dxy3 + -2dx2y + dx2y2 + -3dx2y3 = 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(y2 + -2x + xy + -3xy2) = 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 '(y2 + -2x + xy + -3xy2)' equal to zero and attempt to solve: Simplifying y2 + -2x + xy + -3xy2 = 0 Reorder the terms: -2x + xy + -3xy2 + y2 = 0 Solving -2x + xy + -3xy2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '2x' to each side of the equation. -2x + xy + -3xy2 + 2x + y2 = 0 + 2x Reorder the terms: -2x + 2x + xy + -3xy2 + y2 = 0 + 2x Combine like terms: -2x + 2x = 0 0 + xy + -3xy2 + y2 = 0 + 2x xy + -3xy2 + y2 = 0 + 2x Remove the zero: xy + -3xy2 + y2 = 2x Add '-1xy' to each side of the equation. xy + -3xy2 + -1xy + y2 = 2x + -1xy Reorder the terms: xy + -1xy + -3xy2 + y2 = 2x + -1xy Combine like terms: xy + -1xy = 0 0 + -3xy2 + y2 = 2x + -1xy -3xy2 + y2 = 2x + -1xy Add '3xy2' to each side of the equation. -3xy2 + 3xy2 + y2 = 2x + -1xy + 3xy2 Combine like terms: -3xy2 + 3xy2 = 0 0 + y2 = 2x + -1xy + 3xy2 y2 = 2x + -1xy + 3xy2 Add '-1y2' to each side of the equation. y2 + -1y2 = 2x + -1xy + 3xy2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = 2x + -1xy + 3xy2 + -1y2 Simplifying 0 = 2x + -1xy + 3xy2 + -1y2 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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