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Simplifying (4x + -1) * dy + -1ydx = 0 Reorder the terms: (-1 + 4x) * dy + -1ydx = 0 Reorder the terms for easier multiplication: dy(-1 + 4x) + -1ydx = 0 (-1 * dy + 4x * dy) + -1ydx = 0 Reorder the terms: (4dxy + -1dy) + -1ydx = 0 (4dxy + -1dy) + -1ydx = 0 Reorder the terms: 4dxy + -1dxy + -1dy = 0 Combine like terms: 4dxy + -1dxy = 3dxy 3dxy + -1dy = 0 Solving 3dxy + -1dy = 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), 'dy'. dy(3x + -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 '(3x + -1)' equal to zero and attempt to solve: Simplifying 3x + -1 = 0 Reorder the terms: -1 + 3x = 0 Solving -1 + 3x = 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 + 3x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x = 0 + 1 3x = 0 + 1 Combine like terms: 0 + 1 = 1 3x = 1 Add '-3x' to each side of the equation. 3x + -3x = 1 + -3x Combine like terms: 3x + -3x = 0 0 = 1 + -3x Simplifying 0 = 1 + -3x 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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