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Simplifying ydx + -6(x + y8) * dy = 0 Reorder the terms for easier multiplication: dxy + -6dy(x + y8) = 0 dxy + (x * -6dy + y8 * -6dy) = 0 dxy + (-6dxy + -6dy9) = 0 Combine like terms: dxy + -6dxy = -5dxy -5dxy + -6dy9 = 0 Solving -5dxy + -6dy9 = 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), '-1dy'. -1dy(5x + 6y8) = 0 Ignore the factor -1.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 '(5x + 6y8)' equal to zero and attempt to solve: Simplifying 5x + 6y8 = 0 Solving 5x + 6y8 = 0 Move all terms containing d to the left, all other terms to the right. Add '-5x' to each side of the equation. 5x + -5x + 6y8 = 0 + -5x Combine like terms: 5x + -5x = 0 0 + 6y8 = 0 + -5x 6y8 = 0 + -5x Remove the zero: 6y8 = -5x Add '-6y8' to each side of the equation. 6y8 + -6y8 = -5x + -6y8 Combine like terms: 6y8 + -6y8 = 0 0 = -5x + -6y8 Simplifying 0 = -5x + -6y8 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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