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