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