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Simplifying (2 + y) * dx + -1(2 + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(2 + y) + -1(2 + -1x) * dy = 0 (2 * dx + y * dx) + -1(2 + -1x) * dy = 0 (2dx + dxy) + -1(2 + -1x) * dy = 0 Reorder the terms for easier multiplication: 2dx + dxy + -1dy(2 + -1x) = 0 2dx + dxy + (2 * -1dy + -1x * -1dy) = 0 Reorder the terms: 2dx + dxy + (1dxy + -2dy) = 0 2dx + dxy + (1dxy + -2dy) = 0 Combine like terms: dxy + 1dxy = 2dxy 2dx + 2dxy + -2dy = 0 Solving 2dx + 2dxy + -2dy = 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), '2d'. 2d(x + xy + -1y) = 0 Ignore the factor 2.Subproblem 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 + -1y)' equal to zero and attempt to solve: Simplifying x + xy + -1y = 0 Solving x + xy + -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 + xy + -1x + -1y = 0 + -1x Reorder the terms: x + -1x + xy + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + xy + -1y = 0 + -1x xy + -1y = 0 + -1x Remove the zero: xy + -1y = -1x Add '-1xy' to each side of the equation. xy + -1xy + -1y = -1x + -1xy Combine like terms: xy + -1xy = 0 0 + -1y = -1x + -1xy -1y = -1x + -1xy Add 'y' to each side of the equation. -1y + y = -1x + -1xy + y Combine like terms: -1y + y = 0 0 = -1x + -1xy + y Simplifying 0 = -1x + -1xy + y 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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