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Simplifying ydx + -3(x + y5) * dy = 0 Reorder the terms for easier multiplication: dxy + -3dy(x + y5) = 0 dxy + (x * -3dy + y5 * -3dy) = 0 dxy + (-3dxy + -3dy6) = 0 Combine like terms: dxy + -3dxy = -2dxy -2dxy + -3dy6 = 0 Solving -2dxy + -3dy6 = 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 + 3y5) = 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 + 3y5)' equal to zero and attempt to solve: Simplifying 2x + 3y5 = 0 Solving 2x + 3y5 = 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 + 3y5 = 0 + -2x Combine like terms: 2x + -2x = 0 0 + 3y5 = 0 + -2x 3y5 = 0 + -2x Remove the zero: 3y5 = -2x Add '-3y5' to each side of the equation. 3y5 + -3y5 = -2x + -3y5 Combine like terms: 3y5 + -3y5 = 0 0 = -2x + -3y5 Simplifying 0 = -2x + -3y5 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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