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Simplifying (5x + 9y) * dx + (9x + -8y3) * dy = 0 Reorder the terms for easier multiplication: dx(5x + 9y) + (9x + -8y3) * dy = 0 (5x * dx + 9y * dx) + (9x + -8y3) * dy = 0 Reorder the terms: (9dxy + 5dx2) + (9x + -8y3) * dy = 0 (9dxy + 5dx2) + (9x + -8y3) * dy = 0 Reorder the terms for easier multiplication: 9dxy + 5dx2 + dy(9x + -8y3) = 0 9dxy + 5dx2 + (9x * dy + -8y3 * dy) = 0 9dxy + 5dx2 + (9dxy + -8dy4) = 0 Reorder the terms: 9dxy + 9dxy + 5dx2 + -8dy4 = 0 Combine like terms: 9dxy + 9dxy = 18dxy 18dxy + 5dx2 + -8dy4 = 0 Solving 18dxy + 5dx2 + -8dy4 = 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), 'd'. d(18xy + 5x2 + -8y4) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(18xy + 5x2 + -8y4)' equal to zero and attempt to solve: Simplifying 18xy + 5x2 + -8y4 = 0 Solving 18xy + 5x2 + -8y4 = 0 Move all terms containing d to the left, all other terms to the right. Add '-18xy' to each side of the equation. 18xy + 5x2 + -18xy + -8y4 = 0 + -18xy Reorder the terms: 18xy + -18xy + 5x2 + -8y4 = 0 + -18xy Combine like terms: 18xy + -18xy = 0 0 + 5x2 + -8y4 = 0 + -18xy 5x2 + -8y4 = 0 + -18xy Remove the zero: 5x2 + -8y4 = -18xy Add '-5x2' to each side of the equation. 5x2 + -5x2 + -8y4 = -18xy + -5x2 Combine like terms: 5x2 + -5x2 = 0 0 + -8y4 = -18xy + -5x2 -8y4 = -18xy + -5x2 Add '8y4' to each side of the equation. -8y4 + 8y4 = -18xy + -5x2 + 8y4 Combine like terms: -8y4 + 8y4 = 0 0 = -18xy + -5x2 + 8y4 Simplifying 0 = -18xy + -5x2 + 8y4 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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