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Simplifying (x + -1y) * dx + -5xdy = 0 Reorder the terms for easier multiplication: dx(x + -1y) + -5xdy = 0 (x * dx + -1y * dx) + -5xdy = 0 Reorder the terms: (-1dxy + dx2) + -5xdy = 0 (-1dxy + dx2) + -5xdy = 0 Reorder the terms: -1dxy + -5dxy + dx2 = 0 Combine like terms: -1dxy + -5dxy = -6dxy -6dxy + dx2 = 0 Solving -6dxy + dx2 = 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), 'dx'. dx(-6y + x) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(-6y + x)' equal to zero and attempt to solve: Simplifying -6y + x = 0 Reorder the terms: x + -6y = 0 Solving x + -6y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + -6y = 0 + -1x Combine like terms: x + -1x = 0 0 + -6y = 0 + -1x -6y = 0 + -1x Remove the zero: -6y = -1x Add '6y' to each side of the equation. -6y + 6y = -1x + 6y Combine like terms: -6y + 6y = 0 0 = -1x + 6y Simplifying 0 = -1x + 6y 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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