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Simplifying (5x + 4x2) * dy + (4y + -8y3) * dx = 0 Reorder the terms for easier multiplication: dy(5x + 4x2) + (4y + -8y3) * dx = 0 (5x * dy + 4x2 * dy) + (4y + -8y3) * dx = 0 (5dxy + 4dx2y) + (4y + -8y3) * dx = 0 Reorder the terms for easier multiplication: 5dxy + 4dx2y + dx(4y + -8y3) = 0 5dxy + 4dx2y + (4y * dx + -8y3 * dx) = 0 5dxy + 4dx2y + (4dxy + -8dxy3) = 0 Reorder the terms: 5dxy + 4dxy + -8dxy3 + 4dx2y = 0 Combine like terms: 5dxy + 4dxy = 9dxy 9dxy + -8dxy3 + 4dx2y = 0 Solving 9dxy + -8dxy3 + 4dx2y = 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(9 + -8y2 + 4x) = 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 '(9 + -8y2 + 4x)' equal to zero and attempt to solve: Simplifying 9 + -8y2 + 4x = 0 Reorder the terms: 9 + 4x + -8y2 = 0 Solving 9 + 4x + -8y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 4x + -9 + -8y2 = 0 + -9 Reorder the terms: 9 + -9 + 4x + -8y2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4x + -8y2 = 0 + -9 4x + -8y2 = 0 + -9 Combine like terms: 0 + -9 = -9 4x + -8y2 = -9 Add '-4x' to each side of the equation. 4x + -4x + -8y2 = -9 + -4x Combine like terms: 4x + -4x = 0 0 + -8y2 = -9 + -4x -8y2 = -9 + -4x Add '8y2' to each side of the equation. -8y2 + 8y2 = -9 + -4x + 8y2 Combine like terms: -8y2 + 8y2 = 0 0 = -9 + -4x + 8y2 Simplifying 0 = -9 + -4x + 8y2 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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