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