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Simplifying (xy) * dx + -1(x + 2) * dy = 0 Multiply xy * dx dx2y + -1(x + 2) * dy = 0 Reorder the terms: dx2y + -1(2 + x) * dy = 0 Reorder the terms for easier multiplication: dx2y + -1dy(2 + x) = 0 dx2y + (2 * -1dy + x * -1dy) = 0 Reorder the terms: dx2y + (-1dxy + -2dy) = 0 dx2y + (-1dxy + -2dy) = 0 Reorder the terms: -1dxy + dx2y + -2dy = 0 Solving -1dxy + dx2y + -2dy = 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(-1x + x2 + -2) = 0 Factor a trinomial. dy((x + -2)(x + 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 + -2)' equal to zero and attempt to solve: Simplifying x + -2 = 0 Reorder the terms: -2 + x = 0 Solving -2 + x = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x = 0 + 2 x = 0 + 2 Combine like terms: 0 + 2 = 2 x = 2 Add '-1x' to each side of the equation. x + -1x = 2 + -1x Combine like terms: x + -1x = 0 0 = 2 + -1x Simplifying 0 = 2 + -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 '(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. The solution to this equation could not be determined.
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