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Simplifying xdy + -1(2y + 1) * dx = 0 Reorder the terms: dxy + -1(1 + 2y) * dx = 0 Reorder the terms for easier multiplication: dxy + -1dx(1 + 2y) = 0 dxy + (1 * -1dx + 2y * -1dx) = 0 dxy + (-1dx + -2dxy) = 0 Reorder the terms: -1dx + dxy + -2dxy = 0 Combine like terms: dxy + -2dxy = -1dxy -1dx + -1dxy = 0 Solving -1dx + -1dxy = 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), '-1dx'. -1dx(1 + y) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 + y)' equal to zero and attempt to solve: Simplifying 1 + y = 0 Solving 1 + y = 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 + y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + y = 0 + -1 y = 0 + -1 Combine like terms: 0 + -1 = -1 y = -1 Add '-1y' to each side of the equation. y + -1y = -1 + -1y Combine like terms: y + -1y = 0 0 = -1 + -1y Simplifying 0 = -1 + -1y 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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