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Simplifying dy = x * y * dx Multiply x * y dy = xy * dx Multiply xy * dx dy = dx2y Solving dy = dx2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx2y' to each side of the equation. -1dx2y + dy = dx2y + -1dx2y Combine like terms: dx2y + -1dx2y = 0 -1dx2y + dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1x2 + 1) = 0 Factor a difference between two squares. dy((x + 1)(-1x + 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 '(x + 1)' equal to zero and attempt to solve: Simplifying x + 1 = 0 Reorder the terms: 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(-1x + 1)' equal to zero and attempt to solve: Simplifying -1x + 1 = 0 Reorder the terms: 1 + -1x = 0 Solving 1 + -1x = 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 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Add 'x' to each side of the equation. -1x + x = -1 + x Combine like terms: -1x + x = 0 0 = -1 + x Simplifying 0 = -1 + x 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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