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Simplifying ydx + -1(3x + y4) * dy = 0 Reorder the terms for easier multiplication: dxy + -1dy(3x + y4) = 0 dxy + (3x * -1dy + y4 * -1dy) = 0 dxy + (-3dxy + -1dy5) = 0 Combine like terms: dxy + -3dxy = -2dxy -2dxy + -1dy5 = 0 Solving -2dxy + -1dy5 = 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(2x + y4) = 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 '(2x + y4)' equal to zero and attempt to solve: Simplifying 2x + y4 = 0 Solving 2x + y4 = 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 + y4 = 0 + -2x Combine like terms: 2x + -2x = 0 0 + y4 = 0 + -2x y4 = 0 + -2x Remove the zero: y4 = -2x Add '-1y4' to each side of the equation. y4 + -1y4 = -2x + -1y4 Combine like terms: y4 + -1y4 = 0 0 = -2x + -1y4 Simplifying 0 = -2x + -1y4 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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