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Simplifying (x2 + -2xy) * dy + -1(y2 + -2xy) * dx = 0 Reorder the terms: (-2xy + x2) * dy + -1(y2 + -2xy) * dx = 0 Reorder the terms for easier multiplication: dy(-2xy + x2) + -1(y2 + -2xy) * dx = 0 (-2xy * dy + x2 * dy) + -1(y2 + -2xy) * dx = 0 (-2dxy2 + dx2y) + -1(y2 + -2xy) * dx = 0 Reorder the terms: -2dxy2 + dx2y + -1(-2xy + y2) * dx = 0 Reorder the terms for easier multiplication: -2dxy2 + dx2y + -1dx(-2xy + y2) = 0 -2dxy2 + dx2y + (-2xy * -1dx + y2 * -1dx) = 0 Reorder the terms: -2dxy2 + dx2y + (-1dxy2 + 2dx2y) = 0 -2dxy2 + dx2y + (-1dxy2 + 2dx2y) = 0 Reorder the terms: -2dxy2 + -1dxy2 + dx2y + 2dx2y = 0 Combine like terms: -2dxy2 + -1dxy2 = -3dxy2 -3dxy2 + dx2y + 2dx2y = 0 Combine like terms: dx2y + 2dx2y = 3dx2y -3dxy2 + 3dx2y = 0 Solving -3dxy2 + 3dx2y = 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), '3dxy'. 3dxy(-1y + x) = 0 Ignore the factor 3.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 '(-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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