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