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Simplifying (x + y + 1) * dx + (4x + 4y + 10) * dx = 0 Reorder the terms: (1 + x + y) * dx + (4x + 4y + 10) * dx = 0 Reorder the terms for easier multiplication: dx(1 + x + y) + (4x + 4y + 10) * dx = 0 (1 * dx + x * dx + y * dx) + (4x + 4y + 10) * dx = 0 Reorder the terms: (1dx + dxy + dx2) + (4x + 4y + 10) * dx = 0 (1dx + dxy + dx2) + (4x + 4y + 10) * dx = 0 Reorder the terms: 1dx + dxy + dx2 + (10 + 4x + 4y) * dx = 0 Reorder the terms for easier multiplication: 1dx + dxy + dx2 + dx(10 + 4x + 4y) = 0 1dx + dxy + dx2 + (10 * dx + 4x * dx + 4y * dx) = 0 Reorder the terms: 1dx + dxy + dx2 + (10dx + 4dxy + 4dx2) = 0 1dx + dxy + dx2 + (10dx + 4dxy + 4dx2) = 0 Reorder the terms: 1dx + 10dx + dxy + 4dxy + dx2 + 4dx2 = 0 Combine like terms: 1dx + 10dx = 11dx 11dx + dxy + 4dxy + dx2 + 4dx2 = 0 Combine like terms: dxy + 4dxy = 5dxy 11dx + 5dxy + dx2 + 4dx2 = 0 Combine like terms: dx2 + 4dx2 = 5dx2 11dx + 5dxy + 5dx2 = 0 Solving 11dx + 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(11 + 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 '(11 + 5y + 5x)' equal to zero and attempt to solve: Simplifying 11 + 5y + 5x = 0 Reorder the terms: 11 + 5x + 5y = 0 Solving 11 + 5x + 5y = 0 Move all terms containing d to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 5x + -11 + 5y = 0 + -11 Reorder the terms: 11 + -11 + 5x + 5y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 5x + 5y = 0 + -11 5x + 5y = 0 + -11 Combine like terms: 0 + -11 = -11 5x + 5y = -11 Add '-5x' to each side of the equation. 5x + -5x + 5y = -11 + -5x Combine like terms: 5x + -5x = 0 0 + 5y = -11 + -5x 5y = -11 + -5x Add '-5y' to each side of the equation. 5y + -5y = -11 + -5x + -5y Combine like terms: 5y + -5y = 0 0 = -11 + -5x + -5y Simplifying 0 = -11 + -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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