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Simplifying (x + 2y) * dx + (2x + 3y + 1) * dx = 0 Reorder the terms for easier multiplication: dx(x + 2y) + (2x + 3y + 1) * dx = 0 (x * dx + 2y * dx) + (2x + 3y + 1) * dx = 0 Reorder the terms: (2dxy + dx2) + (2x + 3y + 1) * dx = 0 (2dxy + dx2) + (2x + 3y + 1) * dx = 0 Reorder the terms: 2dxy + dx2 + (1 + 2x + 3y) * dx = 0 Reorder the terms for easier multiplication: 2dxy + dx2 + dx(1 + 2x + 3y) = 0 2dxy + dx2 + (1 * dx + 2x * dx + 3y * dx) = 0 Reorder the terms: 2dxy + dx2 + (1dx + 3dxy + 2dx2) = 0 2dxy + dx2 + (1dx + 3dxy + 2dx2) = 0 Reorder the terms: 1dx + 2dxy + 3dxy + dx2 + 2dx2 = 0 Combine like terms: 2dxy + 3dxy = 5dxy 1dx + 5dxy + dx2 + 2dx2 = 0 Combine like terms: dx2 + 2dx2 = 3dx2 1dx + 5dxy + 3dx2 = 0 Solving 1dx + 5dxy + 3dx2 = 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 + 5y + 3x) = 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 + 5y + 3x)' equal to zero and attempt to solve: Simplifying 1 + 5y + 3x = 0 Reorder the terms: 1 + 3x + 5y = 0 Solving 1 + 3x + 5y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 3x + -1 + 5y = 0 + -1 Reorder the terms: 1 + -1 + 3x + 5y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x + 5y = 0 + -1 3x + 5y = 0 + -1 Combine like terms: 0 + -1 = -1 3x + 5y = -1 Add '-3x' to each side of the equation. 3x + -3x + 5y = -1 + -3x Combine like terms: 3x + -3x = 0 0 + 5y = -1 + -3x 5y = -1 + -3x Add '-5y' to each side of the equation. 5y + -5y = -1 + -3x + -5y Combine like terms: 5y + -5y = 0 0 = -1 + -3x + -5y Simplifying 0 = -1 + -3x + -5y 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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