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Simplifying (X + 2y + -1) * dx + (2x + -1y + -7) * dy = 0 Reorder the terms: (-1 + X + 2y) * dx + (2x + -1y + -7) * dy = 0 Reorder the terms for easier multiplication: dx(-1 + X + 2y) + (2x + -1y + -7) * dy = 0 (-1 * dx + X * dx + 2y * dx) + (2x + -1y + -7) * dy = 0 (-1dx + dxX + 2dxy) + (2x + -1y + -7) * dy = 0 Reorder the terms: -1dx + dxX + 2dxy + (-7 + 2x + -1y) * dy = 0 Reorder the terms for easier multiplication: -1dx + dxX + 2dxy + dy(-7 + 2x + -1y) = 0 -1dx + dxX + 2dxy + (-7 * dy + 2x * dy + -1y * dy) = 0 Reorder the terms: -1dx + dxX + 2dxy + (2dxy + -7dy + -1dy2) = 0 -1dx + dxX + 2dxy + (2dxy + -7dy + -1dy2) = 0 Combine like terms: 2dxy + 2dxy = 4dxy -1dx + dxX + 4dxy + -7dy + -1dy2 = 0 Solving -1dx + dxX + 4dxy + -7dy + -1dy2 = 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 + xX + 4xy + -7y + -1y2) = 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 + xX + 4xy + -7y + -1y2)' equal to zero and attempt to solve: Simplifying -1x + xX + 4xy + -7y + -1y2 = 0 Solving -1x + xX + 4xy + -7y + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + xX + 4xy + -7y + x + -1y2 = 0 + x Reorder the terms: -1x + x + xX + 4xy + -7y + -1y2 = 0 + x Combine like terms: -1x + x = 0 0 + xX + 4xy + -7y + -1y2 = 0 + x xX + 4xy + -7y + -1y2 = 0 + x Remove the zero: xX + 4xy + -7y + -1y2 = x Add '-1xX' to each side of the equation. xX + 4xy + -7y + -1xX + -1y2 = x + -1xX Reorder the terms: xX + -1xX + 4xy + -7y + -1y2 = x + -1xX Combine like terms: xX + -1xX = 0 0 + 4xy + -7y + -1y2 = x + -1xX 4xy + -7y + -1y2 = x + -1xX Add '-4xy' to each side of the equation. 4xy + -7y + -4xy + -1y2 = x + -1xX + -4xy Reorder the terms: 4xy + -4xy + -7y + -1y2 = x + -1xX + -4xy Combine like terms: 4xy + -4xy = 0 0 + -7y + -1y2 = x + -1xX + -4xy -7y + -1y2 = x + -1xX + -4xy Add '7y' to each side of the equation. -7y + 7y + -1y2 = x + -1xX + -4xy + 7y Combine like terms: -7y + 7y = 0 0 + -1y2 = x + -1xX + -4xy + 7y -1y2 = x + -1xX + -4xy + 7y Add 'y2' to each side of the equation. -1y2 + y2 = x + -1xX + -4xy + 7y + y2 Combine like terms: -1y2 + y2 = 0 0 = x + -1xX + -4xy + 7y + y2 Simplifying 0 = x + -1xX + -4xy + 7y + y2 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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