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