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Simplifying (y + -2x + -4) * dx = (x + -2y + 5) * dy Reorder the terms: (-4 + -2x + y) * dx = (x + -2y + 5) * dy Reorder the terms for easier multiplication: dx(-4 + -2x + y) = (x + -2y + 5) * dy (-4 * dx + -2x * dx + y * dx) = (x + -2y + 5) * dy Reorder the terms: (-4dx + dxy + -2dx2) = (x + -2y + 5) * dy (-4dx + dxy + -2dx2) = (x + -2y + 5) * dy Reorder the terms: -4dx + dxy + -2dx2 = (5 + x + -2y) * dy Reorder the terms for easier multiplication: -4dx + dxy + -2dx2 = dy(5 + x + -2y) -4dx + dxy + -2dx2 = (5 * dy + x * dy + -2y * dy) Reorder the terms: -4dx + dxy + -2dx2 = (dxy + 5dy + -2dy2) -4dx + dxy + -2dx2 = (dxy + 5dy + -2dy2) Add '-1dxy' to each side of the equation. -4dx + dxy + -1dxy + -2dx2 = dxy + 5dy + -1dxy + -2dy2 Combine like terms: dxy + -1dxy = 0 -4dx + 0 + -2dx2 = dxy + 5dy + -1dxy + -2dy2 -4dx + -2dx2 = dxy + 5dy + -1dxy + -2dy2 Reorder the terms: -4dx + -2dx2 = dxy + -1dxy + 5dy + -2dy2 Combine like terms: dxy + -1dxy = 0 -4dx + -2dx2 = 0 + 5dy + -2dy2 -4dx + -2dx2 = 5dy + -2dy2 Solving -4dx + -2dx2 = 5dy + -2dy2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5dy' to each side of the equation. -4dx + -2dx2 + -5dy = 5dy + -5dy + -2dy2 Combine like terms: 5dy + -5dy = 0 -4dx + -2dx2 + -5dy = 0 + -2dy2 -4dx + -2dx2 + -5dy = -2dy2 Add '2dy2' to each side of the equation. -4dx + -2dx2 + -5dy + 2dy2 = -2dy2 + 2dy2 Combine like terms: -2dy2 + 2dy2 = 0 -4dx + -2dx2 + -5dy + 2dy2 = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-4x + -2x2 + -5y + 2y2) = 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 '(-4x + -2x2 + -5y + 2y2)' equal to zero and attempt to solve: Simplifying -4x + -2x2 + -5y + 2y2 = 0 Solving -4x + -2x2 + -5y + 2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '4x' to each side of the equation. -4x + -2x2 + -5y + 4x + 2y2 = 0 + 4x Reorder the terms: -4x + 4x + -2x2 + -5y + 2y2 = 0 + 4x Combine like terms: -4x + 4x = 0 0 + -2x2 + -5y + 2y2 = 0 + 4x -2x2 + -5y + 2y2 = 0 + 4x Remove the zero: -2x2 + -5y + 2y2 = 4x Add '2x2' to each side of the equation. -2x2 + -5y + 2x2 + 2y2 = 4x + 2x2 Reorder the terms: -2x2 + 2x2 + -5y + 2y2 = 4x + 2x2 Combine like terms: -2x2 + 2x2 = 0 0 + -5y + 2y2 = 4x + 2x2 -5y + 2y2 = 4x + 2x2 Add '5y' to each side of the equation. -5y + 5y + 2y2 = 4x + 2x2 + 5y Combine like terms: -5y + 5y = 0 0 + 2y2 = 4x + 2x2 + 5y 2y2 = 4x + 2x2 + 5y Add '-2y2' to each side of the equation. 2y2 + -2y2 = 4x + 2x2 + 5y + -2y2 Combine like terms: 2y2 + -2y2 = 0 0 = 4x + 2x2 + 5y + -2y2 Simplifying 0 = 4x + 2x2 + 5y + -2y2 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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