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Simplifying (xy2 + y22 + x2) * dx + -1x2dy = 0 Reorder the terms: (xy2 + x2 + y22) * dx + -1x2dy = 0 Reorder the terms for easier multiplication: dx(xy2 + x2 + y22) + -1x2dy = 0 (xy2 * dx + x2 * dx + y22 * dx) + -1x2dy = 0 Reorder the terms: (dxy22 + dx2y2 + dx3) + -1x2dy = 0 (dxy22 + dx2y2 + dx3) + -1x2dy = 0 Reorder the terms: dxy22 + -1dx2y + dx2y2 + dx3 = 0 Solving dxy22 + -1dx2y + dx2y2 + 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(y22 + -1xy + xy2 + 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 '(y22 + -1xy + xy2 + x2)' equal to zero and attempt to solve: Simplifying y22 + -1xy + xy2 + x2 = 0 Reorder the terms: -1xy + xy2 + x2 + y22 = 0 Solving -1xy + xy2 + x2 + y22 = 0 Move all terms containing d to the left, all other terms to the right. Add 'xy' to each side of the equation. -1xy + xy2 + x2 + xy + y22 = 0 + xy Reorder the terms: -1xy + xy + xy2 + x2 + y22 = 0 + xy Combine like terms: -1xy + xy = 0 0 + xy2 + x2 + y22 = 0 + xy xy2 + x2 + y22 = 0 + xy Remove the zero: xy2 + x2 + y22 = xy Add '-1xy2' to each side of the equation. xy2 + x2 + -1xy2 + y22 = xy + -1xy2 Reorder the terms: xy2 + -1xy2 + x2 + y22 = xy + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 + x2 + y22 = xy + -1xy2 x2 + y22 = xy + -1xy2 Add '-1x2' to each side of the equation. x2 + -1x2 + y22 = xy + -1xy2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y22 = xy + -1xy2 + -1x2 y22 = xy + -1xy2 + -1x2 Add '-1y22' to each side of the equation. y22 + -1y22 = xy + -1xy2 + -1x2 + -1y22 Combine like terms: y22 + -1y22 = 0 0 = xy + -1xy2 + -1x2 + -1y22 Simplifying 0 = xy + -1xy2 + -1x2 + -1y22 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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