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Simplifying (2x2 * y + 2y + 5) * dx + (2x3 + 2x) * dy = 0 Multiply x2 * y (2x2y + 2y + 5) * dx + (2x3 + 2x) * dy = 0 Reorder the terms: (5 + 2x2y + 2y) * dx + (2x3 + 2x) * dy = 0 Reorder the terms for easier multiplication: dx(5 + 2x2y + 2y) + (2x3 + 2x) * dy = 0 (5 * dx + 2x2y * dx + 2y * dx) + (2x3 + 2x) * dy = 0 Reorder the terms: (5dx + 2dxy + 2dx3y) + (2x3 + 2x) * dy = 0 (5dx + 2dxy + 2dx3y) + (2x3 + 2x) * dy = 0 Reorder the terms: 5dx + 2dxy + 2dx3y + (2x + 2x3) * dy = 0 Reorder the terms for easier multiplication: 5dx + 2dxy + 2dx3y + dy(2x + 2x3) = 0 5dx + 2dxy + 2dx3y + (2x * dy + 2x3 * dy) = 0 5dx + 2dxy + 2dx3y + (2dxy + 2dx3y) = 0 Reorder the terms: 5dx + 2dxy + 2dxy + 2dx3y + 2dx3y = 0 Combine like terms: 2dxy + 2dxy = 4dxy 5dx + 4dxy + 2dx3y + 2dx3y = 0 Combine like terms: 2dx3y + 2dx3y = 4dx3y 5dx + 4dxy + 4dx3y = 0 Solving 5dx + 4dxy + 4dx3y = 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(5 + 4y + 4x2y) = 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 '(5 + 4y + 4x2y)' equal to zero and attempt to solve: Simplifying 5 + 4y + 4x2y = 0 Reorder the terms: 5 + 4x2y + 4y = 0 Solving 5 + 4x2y + 4y = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 4x2y + -5 + 4y = 0 + -5 Reorder the terms: 5 + -5 + 4x2y + 4y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4x2y + 4y = 0 + -5 4x2y + 4y = 0 + -5 Combine like terms: 0 + -5 = -5 4x2y + 4y = -5 Add '-4x2y' to each side of the equation. 4x2y + -4x2y + 4y = -5 + -4x2y Combine like terms: 4x2y + -4x2y = 0 0 + 4y = -5 + -4x2y 4y = -5 + -4x2y Add '-4y' to each side of the equation. 4y + -4y = -5 + -4x2y + -4y Combine like terms: 4y + -4y = 0 0 = -5 + -4x2y + -4y Simplifying 0 = -5 + -4x2y + -4y 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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