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Simplifying (X + y + -1) * dx + (y + -5 + -1x) * dy = 0 Reorder the terms: (-1 + X + y) * dx + (y + -5 + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(-1 + X + y) + (y + -5 + -1x) * dy = 0 (-1 * dx + X * dx + y * dx) + (y + -5 + -1x) * dy = 0 (-1dx + dxX + dxy) + (y + -5 + -1x) * dy = 0 Reorder the terms: -1dx + dxX + dxy + (-5 + -1x + y) * dy = 0 Reorder the terms for easier multiplication: -1dx + dxX + dxy + dy(-5 + -1x + y) = 0 -1dx + dxX + dxy + (-5 * dy + -1x * dy + y * dy) = 0 Reorder the terms: -1dx + dxX + dxy + (-1dxy + -5dy + dy2) = 0 -1dx + dxX + dxy + (-1dxy + -5dy + dy2) = 0 Combine like terms: dxy + -1dxy = 0 -1dx + dxX + 0 + -5dy + dy2 = 0 -1dx + dxX + -5dy + dy2 = 0 Solving -1dx + dxX + -5dy + dy2 = 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 + -5y + 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 '(-1x + xX + -5y + y2)' equal to zero and attempt to solve: Simplifying -1x + xX + -5y + y2 = 0 Solving -1x + xX + -5y + y2 = 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 + -5y + x + y2 = 0 + x Reorder the terms: -1x + x + xX + -5y + y2 = 0 + x Combine like terms: -1x + x = 0 0 + xX + -5y + y2 = 0 + x xX + -5y + y2 = 0 + x Remove the zero: xX + -5y + y2 = x Add '-1xX' to each side of the equation. xX + -5y + -1xX + y2 = x + -1xX Reorder the terms: xX + -1xX + -5y + y2 = x + -1xX Combine like terms: xX + -1xX = 0 0 + -5y + y2 = x + -1xX -5y + y2 = x + -1xX Add '5y' to each side of the equation. -5y + 5y + y2 = x + -1xX + 5y Combine like terms: -5y + 5y = 0 0 + y2 = x + -1xX + 5y y2 = x + -1xX + 5y Add '-1y2' to each side of the equation. y2 + -1y2 = x + -1xX + 5y + -1y2 Combine like terms: y2 + -1y2 = 0 0 = x + -1xX + 5y + -1y2 Simplifying 0 = x + -1xX + 5y + -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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