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Simplifying y2dx + 2(x2 + -1xy2) * dy = 0 Reorder the terms: dxy2 + 2(-1xy2 + x2) * dy = 0 Reorder the terms for easier multiplication: dxy2 + 2dy(-1xy2 + x2) = 0 dxy2 + (-1xy2 * 2dy + x2 * 2dy) = 0 dxy2 + (-2dxy3 + 2dx2y) = 0 Solving dxy2 + -2dxy3 + 2dx2y = 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 + -2y2 + 2x) = 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 + -2y2 + 2x)' equal to zero and attempt to solve: Simplifying y + -2y2 + 2x = 0 Reorder the terms: 2x + y + -2y2 = 0 Solving 2x + y + -2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + y + -2x + -2y2 = 0 + -2x Reorder the terms: 2x + -2x + y + -2y2 = 0 + -2x Combine like terms: 2x + -2x = 0 0 + y + -2y2 = 0 + -2x y + -2y2 = 0 + -2x Remove the zero: y + -2y2 = -2x Add '-1y' to each side of the equation. y + -1y + -2y2 = -2x + -1y Combine like terms: y + -1y = 0 0 + -2y2 = -2x + -1y -2y2 = -2x + -1y Add '2y2' to each side of the equation. -2y2 + 2y2 = -2x + -1y + 2y2 Combine like terms: -2y2 + 2y2 = 0 0 = -2x + -1y + 2y2 Simplifying 0 = -2x + -1y + 2y2 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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