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Simplifying (y2 + 2xy) * dx + 2x2dy = 0 Reorder the terms: (2xy + y2) * dx + 2x2dy = 0 Reorder the terms for easier multiplication: dx(2xy + y2) + 2x2dy = 0 (2xy * dx + y2 * dx) + 2x2dy = 0 Reorder the terms: (dxy2 + 2dx2y) + 2x2dy = 0 (dxy2 + 2dx2y) + 2x2dy = 0 Combine like terms: 2dx2y + 2dx2y = 4dx2y dxy2 + 4dx2y = 0 Solving dxy2 + 4dx2y = 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), 'dxy'. dxy(y + 4x) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(y + 4x)' equal to zero and attempt to solve: Simplifying y + 4x = 0 Reorder the terms: 4x + y = 0 Solving 4x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + -4x + y = 0 + -4x Combine like terms: 4x + -4x = 0 0 + y = 0 + -4x y = 0 + -4x Remove the zero: y = -4x Add '-1y' to each side of the equation. y + -1y = -4x + -1y Combine like terms: y + -1y = 0 0 = -4x + -1y Simplifying 0 = -4x + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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