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Simplifying (y2) * dx + -1(2xy + 3) * dy = 0 Multiply y2 * dx dxy2 + -1(2xy + 3) * dy = 0 Reorder the terms: dxy2 + -1(3 + 2xy) * dy = 0 Reorder the terms for easier multiplication: dxy2 + -1dy(3 + 2xy) = 0 dxy2 + (3 * -1dy + 2xy * -1dy) = 0 Reorder the terms: dxy2 + (-2dxy2 + -3dy) = 0 dxy2 + (-2dxy2 + -3dy) = 0 Combine like terms: dxy2 + -2dxy2 = -1dxy2 -1dxy2 + -3dy = 0 Solving -1dxy2 + -3dy = 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), '-1dy'. -1dy(xy + 3) = 0 Ignore the factor -1.Subproblem 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 '(xy + 3)' equal to zero and attempt to solve: Simplifying xy + 3 = 0 Reorder the terms: 3 + xy = 0 Solving 3 + xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + xy = 0 + -3 xy = 0 + -3 Combine like terms: 0 + -3 = -3 xy = -3 Add '-1xy' to each side of the equation. xy + -1xy = -3 + -1xy Combine like terms: xy + -1xy = 0 0 = -3 + -1xy Simplifying 0 = -3 + -1xy 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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