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Simplifying (x2 + y2) * dy + -1y2dx = 0 Reorder the terms for easier multiplication: dy(x2 + y2) + -1y2dx = 0 (x2 * dy + y2 * dy) + -1y2dx = 0 (dx2y + dy3) + -1y2dx = 0 Reorder the terms: -1dxy2 + dx2y + dy3 = 0 Solving -1dxy2 + dx2y + dy3 = 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), 'dy'. dy(-1xy + x2 + y2) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-1xy + x2 + y2)' equal to zero and attempt to solve: Simplifying -1xy + x2 + y2 = 0 Solving -1xy + x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'xy' to each side of the equation. -1xy + x2 + xy + y2 = 0 + xy Reorder the terms: -1xy + xy + x2 + y2 = 0 + xy Combine like terms: -1xy + xy = 0 0 + x2 + y2 = 0 + xy x2 + y2 = 0 + xy Remove the zero: x2 + y2 = xy Add '-1x2' to each side of the equation. x2 + -1x2 + y2 = xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 + y2 = xy + -1x2 y2 = xy + -1x2 Add '-1y2' to each side of the equation. y2 + -1y2 = xy + -1x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = xy + -1x2 + -1y2 Simplifying 0 = xy + -1x2 + -1y2 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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