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