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Simplifying (x2 + -2xy) * dx + xdy = 0 Reorder the terms: (-2xy + x2) * dx + xdy = 0 Reorder the terms for easier multiplication: dx(-2xy + x2) + xdy = 0 (-2xy * dx + x2 * dx) + xdy = 0 (-2dx2y + dx3) + xdy = 0 Reorder the terms: dxy + -2dx2y + dx3 = 0 Solving dxy + -2dx2y + dx3 = 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), 'dx'. dx(y + -2xy + x2) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 + -2xy + x2)' equal to zero and attempt to solve: Simplifying y + -2xy + x2 = 0 Reorder the terms: -2xy + x2 + y = 0 Solving -2xy + x2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '2xy' to each side of the equation. -2xy + x2 + 2xy + y = 0 + 2xy Reorder the terms: -2xy + 2xy + x2 + y = 0 + 2xy Combine like terms: -2xy + 2xy = 0 0 + x2 + y = 0 + 2xy x2 + y = 0 + 2xy Remove the zero: x2 + y = 2xy Add '-1x2' to each side of the equation. x2 + -1x2 + y = 2xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y = 2xy + -1x2 y = 2xy + -1x2 Add '-1y' to each side of the equation. y + -1y = 2xy + -1x2 + -1y Combine like terms: y + -1y = 0 0 = 2xy + -1x2 + -1y Simplifying 0 = 2xy + -1x2 + -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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