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Simplifying xdy + -1ydx = (x2 + -3) * dx Combine like terms: dxy + -1dxy = 0 0 = (x2 + -3) * dx Reorder the terms: 0 = (-3 + x2) * dx Reorder the terms for easier multiplication: 0 = dx(-3 + x2) 0 = (-3 * dx + x2 * dx) 0 = (-3dx + dx3) Solving 0 = -3dx + dx3 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3dx' to each side of the equation. 0 + 3dx = -3dx + 3dx + dx3 Remove the zero: 3dx = -3dx + 3dx + dx3 Combine like terms: -3dx + 3dx = 0 3dx = 0 + dx3 3dx = dx3 Add '-1dx3' to each side of the equation. 3dx + -1dx3 = dx3 + -1dx3 Combine like terms: dx3 + -1dx3 = 0 3dx + -1dx3 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(3 + -1x2) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(3 + -1x2)' equal to zero and attempt to solve: Simplifying 3 + -1x2 = 0 Solving 3 + -1x2 = 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 + -1x2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x2 = 0 + -3 -1x2 = 0 + -3 Combine like terms: 0 + -3 = -3 -1x2 = -3 Add 'x2' to each side of the equation. -1x2 + x2 = -3 + x2 Combine like terms: -1x2 + x2 = 0 0 = -3 + x2 Simplifying 0 = -3 + x2 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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