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Simplifying dx + (x + -1y2) * dy = 0 Reorder the terms for easier multiplication: dx + dy(x + -1y2) = 0 dx + (x * dy + -1y2 * dy) = 0 dx + (dxy + -1dy3) = 0 Solving dx + dxy + -1dy3 = 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(x + xy + -1y3) = 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 '(x + xy + -1y3)' equal to zero and attempt to solve: Simplifying x + xy + -1y3 = 0 Solving x + xy + -1y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + xy + -1x + -1y3 = 0 + -1x Reorder the terms: x + -1x + xy + -1y3 = 0 + -1x Combine like terms: x + -1x = 0 0 + xy + -1y3 = 0 + -1x xy + -1y3 = 0 + -1x Remove the zero: xy + -1y3 = -1x Add '-1xy' to each side of the equation. xy + -1xy + -1y3 = -1x + -1xy Combine like terms: xy + -1xy = 0 0 + -1y3 = -1x + -1xy -1y3 = -1x + -1xy Add 'y3' to each side of the equation. -1y3 + y3 = -1x + -1xy + y3 Combine like terms: -1y3 + y3 = 0 0 = -1x + -1xy + y3 Simplifying 0 = -1x + -1xy + y3 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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