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Simplifying (5xy2 + y) * dx + (5x2y + x + 2) * dy = 0 Reorder the terms for easier multiplication: dx(5xy2 + y) + (5x2y + x + 2) * dy = 0 (5xy2 * dx + y * dx) + (5x2y + x + 2) * dy = 0 Reorder the terms: (dxy + 5dx2y2) + (5x2y + x + 2) * dy = 0 (dxy + 5dx2y2) + (5x2y + x + 2) * dy = 0 Reorder the terms: dxy + 5dx2y2 + (2 + x + 5x2y) * dy = 0 Reorder the terms for easier multiplication: dxy + 5dx2y2 + dy(2 + x + 5x2y) = 0 dxy + 5dx2y2 + (2 * dy + x * dy + 5x2y * dy) = 0 Reorder the terms: dxy + 5dx2y2 + (dxy + 5dx2y2 + 2dy) = 0 dxy + 5dx2y2 + (dxy + 5dx2y2 + 2dy) = 0 Reorder the terms: dxy + dxy + 5dx2y2 + 5dx2y2 + 2dy = 0 Combine like terms: dxy + dxy = 2dxy 2dxy + 5dx2y2 + 5dx2y2 + 2dy = 0 Combine like terms: 5dx2y2 + 5dx2y2 = 10dx2y2 2dxy + 10dx2y2 + 2dy = 0 Solving 2dxy + 10dx2y2 + 2dy = 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), '2dy'. 2dy(x + 5x2y + 1) = 0 Ignore the factor 2.Subproblem 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 '(x + 5x2y + 1)' equal to zero and attempt to solve: Simplifying x + 5x2y + 1 = 0 Reorder the terms: 1 + x + 5x2y = 0 Solving 1 + x + 5x2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x + -1 + 5x2y = 0 + -1 Reorder the terms: 1 + -1 + x + 5x2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + 5x2y = 0 + -1 x + 5x2y = 0 + -1 Combine like terms: 0 + -1 = -1 x + 5x2y = -1 Add '-1x' to each side of the equation. x + -1x + 5x2y = -1 + -1x Combine like terms: x + -1x = 0 0 + 5x2y = -1 + -1x 5x2y = -1 + -1x Add '-5x2y' to each side of the equation. 5x2y + -5x2y = -1 + -1x + -5x2y Combine like terms: 5x2y + -5x2y = 0 0 = -1 + -1x + -5x2y Simplifying 0 = -1 + -1x + -5x2y 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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