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Simplifying [3x + 2y] * dx + xdy = 0 Reorder the terms for easier multiplication: dx[3x + 2y] + xdy = 0 [3x * dx + 2y * dx] + xdy = 0 Reorder the terms: [2dxy + 3dx2] + xdy = 0 [2dxy + 3dx2] + xdy = 0 Reorder the terms: 2dxy + dxy + 3dx2 = 0 Combine like terms: 2dxy + dxy = 3dxy 3dxy + 3dx2 = 0 Solving 3dxy + 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(y + 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 '(y + x)' equal to zero and attempt to solve: Simplifying y + x = 0 Reorder the terms: x + y = 0 Solving x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + y = 0 + -1x Combine like terms: x + -1x = 0 0 + y = 0 + -1x y = 0 + -1x Remove the zero: y = -1x Add '-1y' to each side of the equation. y + -1y = -1x + -1y Combine like terms: y + -1y = 0 0 = -1x + -1y Simplifying 0 = -1x + -1y 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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