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Simplifying y(6y2 + -1x + -1) * dx + 2xdy = 0 Reorder the terms: y(-1 + -1x + 6y2) * dx + 2xdy = 0 Reorder the terms for easier multiplication: y * dx(-1 + -1x + 6y2) + 2xdy = 0 Multiply y * dx dxy(-1 + -1x + 6y2) + 2xdy = 0 (-1 * dxy + -1x * dxy + 6y2 * dxy) + 2xdy = 0 Reorder the terms: (-1dxy + 6dxy3 + -1dx2y) + 2xdy = 0 (-1dxy + 6dxy3 + -1dx2y) + 2xdy = 0 Reorder the terms: -1dxy + 2dxy + 6dxy3 + -1dx2y = 0 Combine like terms: -1dxy + 2dxy = 1dxy 1dxy + 6dxy3 + -1dx2y = 0 Solving 1dxy + 6dxy3 + -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(1 + 6y2 + -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 '(1 + 6y2 + -1x)' equal to zero and attempt to solve: Simplifying 1 + 6y2 + -1x = 0 Reorder the terms: 1 + -1x + 6y2 = 0 Solving 1 + -1x + 6y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1x + -1 + 6y2 = 0 + -1 Reorder the terms: 1 + -1 + -1x + 6y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x + 6y2 = 0 + -1 -1x + 6y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1x + 6y2 = -1 Add 'x' to each side of the equation. -1x + x + 6y2 = -1 + x Combine like terms: -1x + x = 0 0 + 6y2 = -1 + x 6y2 = -1 + x Add '-6y2' to each side of the equation. 6y2 + -6y2 = -1 + x + -6y2 Combine like terms: 6y2 + -6y2 = 0 0 = -1 + x + -6y2 Simplifying 0 = -1 + x + -6y2 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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