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