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Simplifying ydx + (2x + y5) * dy = 0 Reorder the terms for easier multiplication: dxy + dy(2x + y5) = 0 dxy + (2x * dy + y5 * dy) = 0 dxy + (2dxy + dy6) = 0 Combine like terms: dxy + 2dxy = 3dxy 3dxy + dy6 = 0 Solving 3dxy + dy6 = 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(3x + y5) = 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 '(3x + y5)' equal to zero and attempt to solve: Simplifying 3x + y5 = 0 Solving 3x + y5 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + -3x + y5 = 0 + -3x Combine like terms: 3x + -3x = 0 0 + y5 = 0 + -3x y5 = 0 + -3x Remove the zero: y5 = -3x Add '-1y5' to each side of the equation. y5 + -1y5 = -3x + -1y5 Combine like terms: y5 + -1y5 = 0 0 = -3x + -1y5 Simplifying 0 = -3x + -1y5 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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