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Simplifying (x + y + 6) * dx + xdy = 0 Reorder the terms: (6 + x + y) * dx + xdy = 0 Reorder the terms for easier multiplication: dx(6 + x + y) + xdy = 0 (6 * dx + x * dx + y * dx) + xdy = 0 Reorder the terms: (6dx + dxy + dx2) + xdy = 0 (6dx + dxy + dx2) + xdy = 0 Reorder the terms: 6dx + dxy + dxy + dx2 = 0 Combine like terms: dxy + dxy = 2dxy 6dx + 2dxy + dx2 = 0 Solving 6dx + 2dxy + 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(6 + 2y + 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 '(6 + 2y + x)' equal to zero and attempt to solve: Simplifying 6 + 2y + x = 0 Reorder the terms: 6 + x + 2y = 0 Solving 6 + x + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + x + -6 + 2y = 0 + -6 Reorder the terms: 6 + -6 + x + 2y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x + 2y = 0 + -6 x + 2y = 0 + -6 Combine like terms: 0 + -6 = -6 x + 2y = -6 Add '-1x' to each side of the equation. x + -1x + 2y = -6 + -1x Combine like terms: x + -1x = 0 0 + 2y = -6 + -1x 2y = -6 + -1x Add '-2y' to each side of the equation. 2y + -2y = -6 + -1x + -2y Combine like terms: 2y + -2y = 0 0 = -6 + -1x + -2y Simplifying 0 = -6 + -1x + -2y 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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