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Simplifying ydx + -1(x + x2 + y2) * dx = 0 Reorder the terms for easier multiplication: dxy + -1dx(x + x2 + y2) = 0 dxy + (x * -1dx + x2 * -1dx + y2 * -1dx) = 0 Reorder the terms: dxy + (-1dxy2 + -1dx2 + -1dx3) = 0 dxy + (-1dxy2 + -1dx2 + -1dx3) = 0 Solving dxy + -1dxy2 + -1dx2 + -1dx3 = 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 + -1y2 + -1x + -1x2) = 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 + -1y2 + -1x + -1x2)' equal to zero and attempt to solve: Simplifying y + -1y2 + -1x + -1x2 = 0 Reorder the terms: -1x + -1x2 + y + -1y2 = 0 Solving -1x + -1x2 + y + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + -1x2 + y + x + -1y2 = 0 + x Reorder the terms: -1x + x + -1x2 + y + -1y2 = 0 + x Combine like terms: -1x + x = 0 0 + -1x2 + y + -1y2 = 0 + x -1x2 + y + -1y2 = 0 + x Remove the zero: -1x2 + y + -1y2 = x Add 'x2' to each side of the equation. -1x2 + y + x2 + -1y2 = x + x2 Reorder the terms: -1x2 + x2 + y + -1y2 = x + x2 Combine like terms: -1x2 + x2 = 0 0 + y + -1y2 = x + x2 y + -1y2 = x + x2 Add '-1y' to each side of the equation. y + -1y + -1y2 = x + x2 + -1y Combine like terms: y + -1y = 0 0 + -1y2 = x + x2 + -1y -1y2 = x + x2 + -1y Add 'y2' to each side of the equation. -1y2 + y2 = x + x2 + -1y + y2 Combine like terms: -1y2 + y2 = 0 0 = x + x2 + -1y + y2 Simplifying 0 = x + x2 + -1y + y2 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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