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Simplifying (8x + y) * dx + xdy = 0 Reorder the terms for easier multiplication: dx(8x + y) + xdy = 0 (8x * dx + y * dx) + xdy = 0 Reorder the terms: (dxy + 8dx2) + xdy = 0 (dxy + 8dx2) + xdy = 0 Reorder the terms: dxy + dxy + 8dx2 = 0 Combine like terms: dxy + dxy = 2dxy 2dxy + 8dx2 = 0 Solving 2dxy + 8dx2 = 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), '2dx'. 2dx(y + 4x) = 0 Ignore the factor 2.Subproblem 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 '(y + 4x)' equal to zero and attempt to solve: Simplifying y + 4x = 0 Reorder the terms: 4x + y = 0 Solving 4x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + -4x + y = 0 + -4x Combine like terms: 4x + -4x = 0 0 + y = 0 + -4x y = 0 + -4x Remove the zero: y = -4x Add '-1y' to each side of the equation. y + -1y = -4x + -1y Combine like terms: y + -1y = 0 0 = -4x + -1y Simplifying 0 = -4x + -1y 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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