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Simplifying X(y2 + 1) * dy + (x2 + y) * dx = 0 Reorder the terms: X(1 + y2) * dy + (x2 + y) * dx = 0 Reorder the terms for easier multiplication: X * dy(1 + y2) + (x2 + y) * dx = 0 Multiply X * dy dyX(1 + y2) + (x2 + y) * dx = 0 (1 * dyX + y2 * dyX) + (x2 + y) * dx = 0 (1dyX + dy3X) + (x2 + y) * dx = 0 Reorder the terms for easier multiplication: 1dyX + dy3X + dx(x2 + y) = 0 1dyX + dy3X + (x2 * dx + y * dx) = 0 Reorder the terms: 1dyX + dy3X + (dxy + dx3) = 0 1dyX + dy3X + (dxy + dx3) = 0 Reorder the terms: dxy + dx3 + 1dyX + dy3X = 0 Solving dxy + dx3 + 1dyX + dy3X = 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(xy + x3 + yX + y3X) = 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 '(xy + x3 + yX + y3X)' equal to zero and attempt to solve: Simplifying xy + x3 + yX + y3X = 0 Solving xy + x3 + yX + y3X = 0 Move all terms containing d to the left, all other terms to the right. Add '-1xy' to each side of the equation. xy + x3 + yX + -1xy + y3X = 0 + -1xy Reorder the terms: xy + -1xy + x3 + yX + y3X = 0 + -1xy Combine like terms: xy + -1xy = 0 0 + x3 + yX + y3X = 0 + -1xy x3 + yX + y3X = 0 + -1xy Remove the zero: x3 + yX + y3X = -1xy Add '-1x3' to each side of the equation. x3 + yX + -1x3 + y3X = -1xy + -1x3 Reorder the terms: x3 + -1x3 + yX + y3X = -1xy + -1x3 Combine like terms: x3 + -1x3 = 0 0 + yX + y3X = -1xy + -1x3 yX + y3X = -1xy + -1x3 Add '-1yX' to each side of the equation. yX + -1yX + y3X = -1xy + -1x3 + -1yX Combine like terms: yX + -1yX = 0 0 + y3X = -1xy + -1x3 + -1yX y3X = -1xy + -1x3 + -1yX Add '-1y3X' to each side of the equation. y3X + -1y3X = -1xy + -1x3 + -1yX + -1y3X Combine like terms: y3X + -1y3X = 0 0 = -1xy + -1x3 + -1yX + -1y3X Simplifying 0 = -1xy + -1x3 + -1yX + -1y3X 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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