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Simplifying dy = -4ydx Solving dy = -4dxy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4dxy' to each side of the equation. 4dxy + dy = -4dxy + 4dxy Combine like terms: -4dxy + 4dxy = 0 4dxy + dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(4x + 1) = 0Subproblem 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 '(4x + 1)' equal to zero and attempt to solve: Simplifying 4x + 1 = 0 Reorder the terms: 1 + 4x = 0 Solving 1 + 4x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4x = 0 + -1 4x = 0 + -1 Combine like terms: 0 + -1 = -1 4x = -1 Add '-4x' to each side of the equation. 4x + -4x = -1 + -4x Combine like terms: 4x + -4x = 0 0 = -1 + -4x Simplifying 0 = -1 + -4x 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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