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Simplifying (2x2y + -2y2 + 2xy) * dx + (x2 + -2y) * dy = 0 Reorder the terms: (2xy + 2x2y + -2y2) * dx + (x2 + -2y) * dy = 0 Reorder the terms for easier multiplication: dx(2xy + 2x2y + -2y2) + (x2 + -2y) * dy = 0 (2xy * dx + 2x2y * dx + -2y2 * dx) + (x2 + -2y) * dy = 0 Reorder the terms: (-2dxy2 + 2dx2y + 2dx3y) + (x2 + -2y) * dy = 0 (-2dxy2 + 2dx2y + 2dx3y) + (x2 + -2y) * dy = 0 Reorder the terms for easier multiplication: -2dxy2 + 2dx2y + 2dx3y + dy(x2 + -2y) = 0 -2dxy2 + 2dx2y + 2dx3y + (x2 * dy + -2y * dy) = 0 -2dxy2 + 2dx2y + 2dx3y + (dx2y + -2dy2) = 0 Reorder the terms: -2dxy2 + 2dx2y + dx2y + 2dx3y + -2dy2 = 0 Combine like terms: 2dx2y + dx2y = 3dx2y -2dxy2 + 3dx2y + 2dx3y + -2dy2 = 0 Solving -2dxy2 + 3dx2y + 2dx3y + -2dy2 = 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), 'dy'. dy(-2xy + 3x2 + 2x3 + -2y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-2xy + 3x2 + 2x3 + -2y)' equal to zero and attempt to solve: Simplifying -2xy + 3x2 + 2x3 + -2y = 0 Solving -2xy + 3x2 + 2x3 + -2y = 0 Move all terms containing d to the left, all other terms to the right. Add '2xy' to each side of the equation. -2xy + 3x2 + 2x3 + 2xy + -2y = 0 + 2xy Reorder the terms: -2xy + 2xy + 3x2 + 2x3 + -2y = 0 + 2xy Combine like terms: -2xy + 2xy = 0 0 + 3x2 + 2x3 + -2y = 0 + 2xy 3x2 + 2x3 + -2y = 0 + 2xy Remove the zero: 3x2 + 2x3 + -2y = 2xy Add '-3x2' to each side of the equation. 3x2 + 2x3 + -3x2 + -2y = 2xy + -3x2 Reorder the terms: 3x2 + -3x2 + 2x3 + -2y = 2xy + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + 2x3 + -2y = 2xy + -3x2 2x3 + -2y = 2xy + -3x2 Add '-2x3' to each side of the equation. 2x3 + -2x3 + -2y = 2xy + -3x2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 + -2y = 2xy + -3x2 + -2x3 -2y = 2xy + -3x2 + -2x3 Add '2y' to each side of the equation. -2y + 2y = 2xy + -3x2 + -2x3 + 2y Combine like terms: -2y + 2y = 0 0 = 2xy + -3x2 + -2x3 + 2y Simplifying 0 = 2xy + -3x2 + -2x3 + 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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