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Simplifying (y2 + -1x2 + 1) * dx = (y2 + -1x2 + -1) * dy Reorder the terms: (1 + -1x2 + y2) * dx = (y2 + -1x2 + -1) * dy Reorder the terms for easier multiplication: dx(1 + -1x2 + y2) = (y2 + -1x2 + -1) * dy (1 * dx + -1x2 * dx + y2 * dx) = (y2 + -1x2 + -1) * dy Reorder the terms: (1dx + dxy2 + -1dx3) = (y2 + -1x2 + -1) * dy (1dx + dxy2 + -1dx3) = (y2 + -1x2 + -1) * dy Reorder the terms: 1dx + dxy2 + -1dx3 = (-1 + -1x2 + y2) * dy Reorder the terms for easier multiplication: 1dx + dxy2 + -1dx3 = dy(-1 + -1x2 + y2) 1dx + dxy2 + -1dx3 = (-1 * dy + -1x2 * dy + y2 * dy) Reorder the terms: 1dx + dxy2 + -1dx3 = (-1dx2y + -1dy + dy3) 1dx + dxy2 + -1dx3 = (-1dx2y + -1dy + dy3) Solving 1dx + dxy2 + -1dx3 = -1dx2y + -1dy + dy3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'dx2y' to each side of the equation. 1dx + dxy2 + dx2y + -1dx3 = -1dx2y + -1dy + dx2y + dy3 Reorder the terms: 1dx + dxy2 + dx2y + -1dx3 = -1dx2y + dx2y + -1dy + dy3 Combine like terms: -1dx2y + dx2y = 0 1dx + dxy2 + dx2y + -1dx3 = 0 + -1dy + dy3 1dx + dxy2 + dx2y + -1dx3 = -1dy + dy3 Add 'dy' to each side of the equation. 1dx + dxy2 + dx2y + -1dx3 + dy = -1dy + dy + dy3 Combine like terms: -1dy + dy = 0 1dx + dxy2 + dx2y + -1dx3 + dy = 0 + dy3 1dx + dxy2 + dx2y + -1dx3 + dy = dy3 Add '-1dy3' to each side of the equation. 1dx + dxy2 + dx2y + -1dx3 + dy + -1dy3 = dy3 + -1dy3 Combine like terms: dy3 + -1dy3 = 0 1dx + dxy2 + dx2y + -1dx3 + dy + -1dy3 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(x + xy2 + x2y + -1x3 + y + -1y3) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(x + xy2 + x2y + -1x3 + y + -1y3)' equal to zero and attempt to solve: Simplifying x + xy2 + x2y + -1x3 + y + -1y3 = 0 Solving x + xy2 + x2y + -1x3 + y + -1y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + xy2 + x2y + -1x3 + y + -1x + -1y3 = 0 + -1x Reorder the terms: x + -1x + xy2 + x2y + -1x3 + y + -1y3 = 0 + -1x Combine like terms: x + -1x = 0 0 + xy2 + x2y + -1x3 + y + -1y3 = 0 + -1x xy2 + x2y + -1x3 + y + -1y3 = 0 + -1x Remove the zero: xy2 + x2y + -1x3 + y + -1y3 = -1x Add '-1xy2' to each side of the equation. xy2 + x2y + -1x3 + y + -1xy2 + -1y3 = -1x + -1xy2 Reorder the terms: xy2 + -1xy2 + x2y + -1x3 + y + -1y3 = -1x + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 + x2y + -1x3 + y + -1y3 = -1x + -1xy2 x2y + -1x3 + y + -1y3 = -1x + -1xy2 Add '-1x2y' to each side of the equation. x2y + -1x3 + y + -1x2y + -1y3 = -1x + -1xy2 + -1x2y Reorder the terms: x2y + -1x2y + -1x3 + y + -1y3 = -1x + -1xy2 + -1x2y Combine like terms: x2y + -1x2y = 0 0 + -1x3 + y + -1y3 = -1x + -1xy2 + -1x2y -1x3 + y + -1y3 = -1x + -1xy2 + -1x2y Add 'x3' to each side of the equation. -1x3 + y + x3 + -1y3 = -1x + -1xy2 + -1x2y + x3 Reorder the terms: -1x3 + x3 + y + -1y3 = -1x + -1xy2 + -1x2y + x3 Combine like terms: -1x3 + x3 = 0 0 + y + -1y3 = -1x + -1xy2 + -1x2y + x3 y + -1y3 = -1x + -1xy2 + -1x2y + x3 Add '-1y' to each side of the equation. y + -1y + -1y3 = -1x + -1xy2 + -1x2y + x3 + -1y Combine like terms: y + -1y = 0 0 + -1y3 = -1x + -1xy2 + -1x2y + x3 + -1y -1y3 = -1x + -1xy2 + -1x2y + x3 + -1y Add 'y3' to each side of the equation. -1y3 + y3 = -1x + -1xy2 + -1x2y + x3 + -1y + y3 Combine like terms: -1y3 + y3 = 0 0 = -1x + -1xy2 + -1x2y + x3 + -1y + y3 Simplifying 0 = -1x + -1xy2 + -1x2y + x3 + -1y + y3 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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