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