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