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Simplifying xy * dx + (x2 + y2) * dy = 0 Multiply xy * dx dx2y + (x2 + y2) * dy = 0 Reorder the terms for easier multiplication: dx2y + dy(x2 + y2) = 0 dx2y + (x2 * dy + y2 * dy) = 0 dx2y + (dx2y + dy3) = 0 Combine like terms: dx2y + dx2y = 2dx2y 2dx2y + dy3 = 0 Solving 2dx2y + 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(2x2 + 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 '(2x2 + y2)' equal to zero and attempt to solve: Simplifying 2x2 + y2 = 0 Solving 2x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x2' to each side of the equation. 2x2 + -2x2 + y2 = 0 + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + y2 = 0 + -2x2 y2 = 0 + -2x2 Remove the zero: y2 = -2x2 Add '-1y2' to each side of the equation. y2 + -1y2 = -2x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -2x2 + -1y2 Simplifying 0 = -2x2 + -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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