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Simplifying y(x + -6y) * dx + -1x(2x + -9y) * dy = 0 Reorder the terms for easier multiplication: y * dx(x + -6y) + -1x(2x + -9y) * dy = 0 Multiply y * dx dxy(x + -6y) + -1x(2x + -9y) * dy = 0 (x * dxy + -6y * dxy) + -1x(2x + -9y) * dy = 0 Reorder the terms: (-6dxy2 + dx2y) + -1x(2x + -9y) * dy = 0 (-6dxy2 + dx2y) + -1x(2x + -9y) * dy = 0 Reorder the terms for easier multiplication: -6dxy2 + dx2y + -1x * dy(2x + -9y) = 0 Multiply x * dy -6dxy2 + dx2y + -1dxy(2x + -9y) = 0 -6dxy2 + dx2y + (2x * -1dxy + -9y * -1dxy) = 0 Reorder the terms: -6dxy2 + dx2y + (9dxy2 + -2dx2y) = 0 -6dxy2 + dx2y + (9dxy2 + -2dx2y) = 0 Reorder the terms: -6dxy2 + 9dxy2 + dx2y + -2dx2y = 0 Combine like terms: -6dxy2 + 9dxy2 = 3dxy2 3dxy2 + dx2y + -2dx2y = 0 Combine like terms: dx2y + -2dx2y = -1dx2y 3dxy2 + -1dx2y = 0 Solving 3dxy2 + -1dx2y = 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(3y + -1x) = 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 '(3y + -1x)' equal to zero and attempt to solve: Simplifying 3y + -1x = 0 Reorder the terms: -1x + 3y = 0 Solving -1x + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + x + 3y = 0 + x Combine like terms: -1x + x = 0 0 + 3y = 0 + x 3y = 0 + x Remove the zero: 3y = x Add '-3y' to each side of the equation. 3y + -3y = x + -3y Combine like terms: 3y + -3y = 0 0 = x + -3y Simplifying 0 = x + -3y 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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