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Simplifying (1 + -1x) * dy + -1ydx = 0 Reorder the terms for easier multiplication: dy(1 + -1x) + -1ydx = 0 (1 * dy + -1x * dy) + -1ydx = 0 Reorder the terms: (-1dxy + 1dy) + -1ydx = 0 (-1dxy + 1dy) + -1ydx = 0 Reorder the terms: -1dxy + -1dxy + 1dy = 0 Combine like terms: -1dxy + -1dxy = -2dxy -2dxy + 1dy = 0 Solving -2dxy + 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(-2x + 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 '(-2x + 1)' equal to zero and attempt to solve: Simplifying -2x + 1 = 0 Reorder the terms: 1 + -2x = 0 Solving 1 + -2x = 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 + -2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = 0 + -1 -2x = 0 + -1 Combine like terms: 0 + -1 = -1 -2x = -1 Add '2x' to each side of the equation. -2x + 2x = -1 + 2x Combine like terms: -2x + 2x = 0 0 = -1 + 2x Simplifying 0 = -1 + 2x 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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