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Simplifying (3x + 5) * dy + -1ydx = 0 Reorder the terms: (5 + 3x) * dy + -1ydx = 0 Reorder the terms for easier multiplication: dy(5 + 3x) + -1ydx = 0 (5 * dy + 3x * dy) + -1ydx = 0 Reorder the terms: (3dxy + 5dy) + -1ydx = 0 (3dxy + 5dy) + -1ydx = 0 Reorder the terms: 3dxy + -1dxy + 5dy = 0 Combine like terms: 3dxy + -1dxy = 2dxy 2dxy + 5dy = 0 Solving 2dxy + 5dy = 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(2x + 5) = 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 '(2x + 5)' equal to zero and attempt to solve: Simplifying 2x + 5 = 0 Reorder the terms: 5 + 2x = 0 Solving 5 + 2x = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2x = 0 + -5 2x = 0 + -5 Combine like terms: 0 + -5 = -5 2x = -5 Add '-2x' to each side of the equation. 2x + -2x = -5 + -2x Combine like terms: 2x + -2x = 0 0 = -5 + -2x Simplifying 0 = -5 + -2x 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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