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Simplifying (3 + 3y2 + -1x) * dy + -1(2x + y) * dx = 0 Reorder the terms: (3 + -1x + 3y2) * dy + -1(2x + y) * dx = 0 Reorder the terms for easier multiplication: dy(3 + -1x + 3y2) + -1(2x + y) * dx = 0 (3 * dy + -1x * dy + 3y2 * dy) + -1(2x + y) * dx = 0 Reorder the terms: (-1dxy + 3dy + 3dy3) + -1(2x + y) * dx = 0 (-1dxy + 3dy + 3dy3) + -1(2x + y) * dx = 0 Reorder the terms for easier multiplication: -1dxy + 3dy + 3dy3 + -1dx(2x + y) = 0 -1dxy + 3dy + 3dy3 + (2x * -1dx + y * -1dx) = 0 Reorder the terms: -1dxy + 3dy + 3dy3 + (-1dxy + -2dx2) = 0 -1dxy + 3dy + 3dy3 + (-1dxy + -2dx2) = 0 Reorder the terms: -1dxy + -1dxy + -2dx2 + 3dy + 3dy3 = 0 Combine like terms: -1dxy + -1dxy = -2dxy -2dxy + -2dx2 + 3dy + 3dy3 = 0 Solving -2dxy + -2dx2 + 3dy + 3dy3 = 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(-2xy + -2x2 + 3y + 3y3) = 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 '(-2xy + -2x2 + 3y + 3y3)' equal to zero and attempt to solve: Simplifying -2xy + -2x2 + 3y + 3y3 = 0 Solving -2xy + -2x2 + 3y + 3y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '2xy' to each side of the equation. -2xy + -2x2 + 3y + 2xy + 3y3 = 0 + 2xy Reorder the terms: -2xy + 2xy + -2x2 + 3y + 3y3 = 0 + 2xy Combine like terms: -2xy + 2xy = 0 0 + -2x2 + 3y + 3y3 = 0 + 2xy -2x2 + 3y + 3y3 = 0 + 2xy Remove the zero: -2x2 + 3y + 3y3 = 2xy Add '2x2' to each side of the equation. -2x2 + 3y + 2x2 + 3y3 = 2xy + 2x2 Reorder the terms: -2x2 + 2x2 + 3y + 3y3 = 2xy + 2x2 Combine like terms: -2x2 + 2x2 = 0 0 + 3y + 3y3 = 2xy + 2x2 3y + 3y3 = 2xy + 2x2 Add '-3y' to each side of the equation. 3y + -3y + 3y3 = 2xy + 2x2 + -3y Combine like terms: 3y + -3y = 0 0 + 3y3 = 2xy + 2x2 + -3y 3y3 = 2xy + 2x2 + -3y Add '-3y3' to each side of the equation. 3y3 + -3y3 = 2xy + 2x2 + -3y + -3y3 Combine like terms: 3y3 + -3y3 = 0 0 = 2xy + 2x2 + -3y + -3y3 Simplifying 0 = 2xy + 2x2 + -3y + -3y3 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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