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Simplifying (2 + y) * dx + -1(3 + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(2 + y) + -1(3 + -1x) * dy = 0 (2 * dx + y * dx) + -1(3 + -1x) * dy = 0 (2dx + dxy) + -1(3 + -1x) * dy = 0 Reorder the terms for easier multiplication: 2dx + dxy + -1dy(3 + -1x) = 0 2dx + dxy + (3 * -1dy + -1x * -1dy) = 0 Reorder the terms: 2dx + dxy + (1dxy + -3dy) = 0 2dx + dxy + (1dxy + -3dy) = 0 Combine like terms: dxy + 1dxy = 2dxy 2dx + 2dxy + -3dy = 0 Solving 2dx + 2dxy + -3dy = 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(2x + 2xy + -3y) = 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 '(2x + 2xy + -3y)' equal to zero and attempt to solve: Simplifying 2x + 2xy + -3y = 0 Solving 2x + 2xy + -3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + 2xy + -2x + -3y = 0 + -2x Reorder the terms: 2x + -2x + 2xy + -3y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + 2xy + -3y = 0 + -2x 2xy + -3y = 0 + -2x Remove the zero: 2xy + -3y = -2x Add '-2xy' to each side of the equation. 2xy + -2xy + -3y = -2x + -2xy Combine like terms: 2xy + -2xy = 0 0 + -3y = -2x + -2xy -3y = -2x + -2xy Add '3y' to each side of the equation. -3y + 3y = -2x + -2xy + 3y Combine like terms: -3y + 3y = 0 0 = -2x + -2xy + 3y Simplifying 0 = -2x + -2xy + 3y 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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