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Simplifying (x + y + 1) * dx + (2x + 2x + -1) * dy = 0 Reorder the terms: (1 + x + y) * dx + (2x + 2x + -1) * dy = 0 Reorder the terms for easier multiplication: dx(1 + x + y) + (2x + 2x + -1) * dy = 0 (1 * dx + x * dx + y * dx) + (2x + 2x + -1) * dy = 0 Reorder the terms: (1dx + dxy + dx2) + (2x + 2x + -1) * dy = 0 (1dx + dxy + dx2) + (2x + 2x + -1) * dy = 0 Reorder the terms: 1dx + dxy + dx2 + (-1 + 2x + 2x) * dy = 0 Combine like terms: 2x + 2x = 4x 1dx + dxy + dx2 + (-1 + 4x) * dy = 0 Reorder the terms for easier multiplication: 1dx + dxy + dx2 + dy(-1 + 4x) = 0 1dx + dxy + dx2 + (-1 * dy + 4x * dy) = 0 Reorder the terms: 1dx + dxy + dx2 + (4dxy + -1dy) = 0 1dx + dxy + dx2 + (4dxy + -1dy) = 0 Reorder the terms: 1dx + dxy + 4dxy + dx2 + -1dy = 0 Combine like terms: dxy + 4dxy = 5dxy 1dx + 5dxy + dx2 + -1dy = 0 Solving 1dx + 5dxy + dx2 + -1dy = 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 + 5xy + x2 + -1y) = 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 + 5xy + x2 + -1y)' equal to zero and attempt to solve: Simplifying x + 5xy + x2 + -1y = 0 Solving x + 5xy + x2 + -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 + 5xy + x2 + -1x + -1y = 0 + -1x Reorder the terms: x + -1x + 5xy + x2 + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + 5xy + x2 + -1y = 0 + -1x 5xy + x2 + -1y = 0 + -1x Remove the zero: 5xy + x2 + -1y = -1x Add '-5xy' to each side of the equation. 5xy + x2 + -5xy + -1y = -1x + -5xy Reorder the terms: 5xy + -5xy + x2 + -1y = -1x + -5xy Combine like terms: 5xy + -5xy = 0 0 + x2 + -1y = -1x + -5xy x2 + -1y = -1x + -5xy Add '-1x2' to each side of the equation. x2 + -1x2 + -1y = -1x + -5xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -1y = -1x + -5xy + -1x2 -1y = -1x + -5xy + -1x2 Add 'y' to each side of the equation. -1y + y = -1x + -5xy + -1x2 + y Combine like terms: -1y + y = 0 0 = -1x + -5xy + -1x2 + y Simplifying 0 = -1x + -5xy + -1x2 + 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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