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Simplifying y2dx + (xy + 3y3) * dy = 0 Reorder the terms for easier multiplication: dxy2 + dy(xy + 3y3) = 0 dxy2 + (xy * dy + 3y3 * dy) = 0 dxy2 + (dxy2 + 3dy4) = 0 Combine like terms: dxy2 + dxy2 = 2dxy2 2dxy2 + 3dy4 = 0 Solving 2dxy2 + 3dy4 = 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), 'dy2'. dy2(2x + 3y2) = 0Subproblem 1
Set the factor 'dy2' equal to zero and attempt to solve: Simplifying dy2 = 0 Solving dy2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy2 = 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 + 3y2)' equal to zero and attempt to solve: Simplifying 2x + 3y2 = 0 Solving 2x + 3y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + 3y2 = 0 + -2x Combine like terms: 2x + -2x = 0 0 + 3y2 = 0 + -2x 3y2 = 0 + -2x Remove the zero: 3y2 = -2x Add '-3y2' to each side of the equation. 3y2 + -3y2 = -2x + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = -2x + -3y2 Simplifying 0 = -2x + -3y2 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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