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Simplifying (x + 2) * dy + (2x + -3y) * dy = 0 Reorder the terms: (2 + x) * dy + (2x + -3y) * dy = 0 Reorder the terms for easier multiplication: dy(2 + x) + (2x + -3y) * dy = 0 (2 * dy + x * dy) + (2x + -3y) * dy = 0 Reorder the terms: (dxy + 2dy) + (2x + -3y) * dy = 0 (dxy + 2dy) + (2x + -3y) * dy = 0 Reorder the terms for easier multiplication: dxy + 2dy + dy(2x + -3y) = 0 dxy + 2dy + (2x * dy + -3y * dy) = 0 dxy + 2dy + (2dxy + -3dy2) = 0 Reorder the terms: dxy + 2dxy + 2dy + -3dy2 = 0 Combine like terms: dxy + 2dxy = 3dxy 3dxy + 2dy + -3dy2 = 0 Solving 3dxy + 2dy + -3dy2 = 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 + 2 + -3y) = 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 + 2 + -3y)' equal to zero and attempt to solve: Simplifying 3x + 2 + -3y = 0 Reorder the terms: 2 + 3x + -3y = 0 Solving 2 + 3x + -3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3x + -2 + -3y = 0 + -2 Reorder the terms: 2 + -2 + 3x + -3y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x + -3y = 0 + -2 3x + -3y = 0 + -2 Combine like terms: 0 + -2 = -2 3x + -3y = -2 Add '-3x' to each side of the equation. 3x + -3x + -3y = -2 + -3x Combine like terms: 3x + -3x = 0 0 + -3y = -2 + -3x -3y = -2 + -3x Add '3y' to each side of the equation. -3y + 3y = -2 + -3x + 3y Combine like terms: -3y + 3y = 0 0 = -2 + -3x + 3y Simplifying 0 = -2 + -3x + 3y 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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