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Simplifying (x + 1) * dx + (y + -1) * dy = 0 Reorder the terms: (1 + x) * dx + (y + -1) * dy = 0 Reorder the terms for easier multiplication: dx(1 + x) + (y + -1) * dy = 0 (1 * dx + x * dx) + (y + -1) * dy = 0 (1dx + dx2) + (y + -1) * dy = 0 Reorder the terms: 1dx + dx2 + (-1 + y) * dy = 0 Reorder the terms for easier multiplication: 1dx + dx2 + dy(-1 + y) = 0 1dx + dx2 + (-1 * dy + y * dy) = 0 1dx + dx2 + (-1dy + dy2) = 0 Solving 1dx + dx2 + -1dy + dy2 = 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), 'd'. d(x + x2 + -1y + y2) = 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 + x2 + -1y + y2)' equal to zero and attempt to solve: Simplifying x + x2 + -1y + y2 = 0 Solving x + x2 + -1y + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + x2 + -1y + -1x + y2 = 0 + -1x Reorder the terms: x + -1x + x2 + -1y + y2 = 0 + -1x Combine like terms: x + -1x = 0 0 + x2 + -1y + y2 = 0 + -1x x2 + -1y + y2 = 0 + -1x Remove the zero: x2 + -1y + y2 = -1x Add '-1x2' to each side of the equation. x2 + -1y + -1x2 + y2 = -1x + -1x2 Reorder the terms: x2 + -1x2 + -1y + y2 = -1x + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -1y + y2 = -1x + -1x2 -1y + y2 = -1x + -1x2 Add 'y' to each side of the equation. -1y + y + y2 = -1x + -1x2 + y Combine like terms: -1y + y = 0 0 + y2 = -1x + -1x2 + y y2 = -1x + -1x2 + y Add '-1y2' to each side of the equation. y2 + -1y2 = -1x + -1x2 + y + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1x + -1x2 + y + -1y2 Simplifying 0 = -1x + -1x2 + y + -1y2 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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