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Simplifying (8y + 4x2 * y4) * dx + (8x + 5x3 * y3) * dy = 0 Multiply x2 * y4 (8y + 4x2y4) * dx + (8x + 5x3 * y3) * dy = 0 Reorder the terms: (4x2y4 + 8y) * dx + (8x + 5x3 * y3) * dy = 0 Reorder the terms for easier multiplication: dx(4x2y4 + 8y) + (8x + 5x3 * y3) * dy = 0 (4x2y4 * dx + 8y * dx) + (8x + 5x3 * y3) * dy = 0 Reorder the terms: (8dxy + 4dx3y4) + (8x + 5x3 * y3) * dy = 0 (8dxy + 4dx3y4) + (8x + 5x3 * y3) * dy = 0 Multiply x3 * y3 8dxy + 4dx3y4 + (8x + 5x3y3) * dy = 0 Reorder the terms for easier multiplication: 8dxy + 4dx3y4 + dy(8x + 5x3y3) = 0 8dxy + 4dx3y4 + (8x * dy + 5x3y3 * dy) = 0 8dxy + 4dx3y4 + (8dxy + 5dx3y4) = 0 Reorder the terms: 8dxy + 8dxy + 4dx3y4 + 5dx3y4 = 0 Combine like terms: 8dxy + 8dxy = 16dxy 16dxy + 4dx3y4 + 5dx3y4 = 0 Combine like terms: 4dx3y4 + 5dx3y4 = 9dx3y4 16dxy + 9dx3y4 = 0 Solving 16dxy + 9dx3y4 = 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), 'dxy'. dxy(16 + 9x2y3) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(16 + 9x2y3)' equal to zero and attempt to solve: Simplifying 16 + 9x2y3 = 0 Solving 16 + 9x2y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 9x2y3 = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 9x2y3 = 0 + -16 9x2y3 = 0 + -16 Combine like terms: 0 + -16 = -16 9x2y3 = -16 Add '-9x2y3' to each side of the equation. 9x2y3 + -9x2y3 = -16 + -9x2y3 Combine like terms: 9x2y3 + -9x2y3 = 0 0 = -16 + -9x2y3 Simplifying 0 = -16 + -9x2y3 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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