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Simplifying 2ydx + -8(x + 6) * dy = 0 Reorder the terms: 2dxy + -8(6 + x) * dy = 0 Reorder the terms for easier multiplication: 2dxy + -8dy(6 + x) = 0 2dxy + (6 * -8dy + x * -8dy) = 0 Reorder the terms: 2dxy + (-8dxy + -48dy) = 0 2dxy + (-8dxy + -48dy) = 0 Combine like terms: 2dxy + -8dxy = -6dxy -6dxy + -48dy = 0 Solving -6dxy + -48dy = 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), '-6dy'. -6dy(x + 8) = 0 Ignore the factor -6.Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(x + 8)' equal to zero and attempt to solve: Simplifying x + 8 = 0 Reorder the terms: 8 + x = 0 Solving 8 + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Add '-1x' to each side of the equation. x + -1x = -8 + -1x Combine like terms: x + -1x = 0 0 = -8 + -1x Simplifying 0 = -8 + -1x 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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