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Simplifying 2ydx + x(6x2 + -1y + -1) * dy = 0 Reorder the terms: 2dxy + x(-1 + 6x2 + -1y) * dy = 0 Reorder the terms for easier multiplication: 2dxy + x * dy(-1 + 6x2 + -1y) = 0 Multiply x * dy 2dxy + dxy(-1 + 6x2 + -1y) = 0 2dxy + (-1 * dxy + 6x2 * dxy + -1y * dxy) = 0 Reorder the terms: 2dxy + (-1dxy + -1dxy2 + 6dx3y) = 0 2dxy + (-1dxy + -1dxy2 + 6dx3y) = 0 Combine like terms: 2dxy + -1dxy = 1dxy 1dxy + -1dxy2 + 6dx3y = 0 Solving 1dxy + -1dxy2 + 6dx3y = 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 + -1y + 6x2) = 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 + -1y + 6x2)' equal to zero and attempt to solve: Simplifying 1 + -1y + 6x2 = 0 Reorder the terms: 1 + 6x2 + -1y = 0 Solving 1 + 6x2 + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 6x2 + -1 + -1y = 0 + -1 Reorder the terms: 1 + -1 + 6x2 + -1y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6x2 + -1y = 0 + -1 6x2 + -1y = 0 + -1 Combine like terms: 0 + -1 = -1 6x2 + -1y = -1 Add '-6x2' to each side of the equation. 6x2 + -6x2 + -1y = -1 + -6x2 Combine like terms: 6x2 + -6x2 = 0 0 + -1y = -1 + -6x2 -1y = -1 + -6x2 Add 'y' to each side of the equation. -1y + y = -1 + -6x2 + y Combine like terms: -1y + y = 0 0 = -1 + -6x2 + y Simplifying 0 = -1 + -6x2 + 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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