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