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