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