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Simplifying (x2) * dy + -1y(1 + -1x) * dx = 0 Multiply x2 * dy dx2y + -1y(1 + -1x) * dx = 0 Reorder the terms for easier multiplication: dx2y + -1y * dx(1 + -1x) = 0 Multiply y * dx dx2y + -1dxy(1 + -1x) = 0 dx2y + (1 * -1dxy + -1x * -1dxy) = 0 dx2y + (-1dxy + 1dx2y) = 0 Reorder the terms: -1dxy + dx2y + 1dx2y = 0 Combine like terms: dx2y + 1dx2y = 2dx2y -1dxy + 2dx2y = 0 Solving -1dxy + 2dx2y = 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), 'dxy'. dxy(-1 + 2x) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(-1 + 2x)' equal to zero and attempt to solve: Simplifying -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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