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Simplifying y2dx + -1(2x + 3) * dy = 0 Reorder the terms: dxy2 + -1(3 + 2x) * dy = 0 Reorder the terms for easier multiplication: dxy2 + -1dy(3 + 2x) = 0 dxy2 + (3 * -1dy + 2x * -1dy) = 0 Reorder the terms: dxy2 + (-2dxy + -3dy) = 0 dxy2 + (-2dxy + -3dy) = 0 Reorder the terms: -2dxy + dxy2 + -3dy = 0 Solving -2dxy + dxy2 + -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), 'dy'. dy(-2x + xy + -3) = 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 '(-2x + xy + -3)' equal to zero and attempt to solve: Simplifying -2x + xy + -3 = 0 Reorder the terms: -3 + -2x + xy = 0 Solving -3 + -2x + 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 + -2x + 3 + xy = 0 + 3 Reorder the terms: -3 + 3 + -2x + xy = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2x + xy = 0 + 3 -2x + xy = 0 + 3 Combine like terms: 0 + 3 = 3 -2x + xy = 3 Add '2x' to each side of the equation. -2x + 2x + xy = 3 + 2x Combine like terms: -2x + 2x = 0 0 + xy = 3 + 2x xy = 3 + 2x Add '-1xy' to each side of the equation. xy + -1xy = 3 + 2x + -1xy Combine like terms: xy + -1xy = 0 0 = 3 + 2x + -1xy Simplifying 0 = 3 + 2x + -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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