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Simplifying ydx + (3 + 3x + -1y) * dx = 0 Reorder the terms for easier multiplication: dxy + dx(3 + 3x + -1y) = 0 dxy + (3 * dx + 3x * dx + -1y * dx) = 0 Reorder the terms: dxy + (3dx + -1dxy + 3dx2) = 0 dxy + (3dx + -1dxy + 3dx2) = 0 Reorder the terms: 3dx + dxy + -1dxy + 3dx2 = 0 Combine like terms: dxy + -1dxy = 0 3dx + 0 + 3dx2 = 0 3dx + 3dx2 = 0 Solving 3dx + 3dx2 = 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), '3dx'. 3dx(1 + x) = 0 Ignore the factor 3.Subproblem 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 '(1 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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