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Simplifying (3x + y) * dx + (x + y) * dx = 0 Reorder the terms for easier multiplication: dx(3x + y) + (x + y) * dx = 0 (3x * dx + y * dx) + (x + y) * dx = 0 Reorder the terms: (dxy + 3dx2) + (x + y) * dx = 0 (dxy + 3dx2) + (x + y) * dx = 0 Reorder the terms for easier multiplication: dxy + 3dx2 + dx(x + y) = 0 dxy + 3dx2 + (x * dx + y * dx) = 0 Reorder the terms: dxy + 3dx2 + (dxy + dx2) = 0 dxy + 3dx2 + (dxy + dx2) = 0 Reorder the terms: dxy + dxy + 3dx2 + dx2 = 0 Combine like terms: dxy + dxy = 2dxy 2dxy + 3dx2 + dx2 = 0 Combine like terms: 3dx2 + dx2 = 4dx2 2dxy + 4dx2 = 0 Solving 2dxy + 4dx2 = 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), '2dx'. 2dx(y + 2x) = 0 Ignore the factor 2.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 + 2x)' equal to zero and attempt to solve: Simplifying y + 2x = 0 Reorder the terms: 2x + y = 0 Solving 2x + y = 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 + y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + y = 0 + -2x y = 0 + -2x Remove the zero: y = -2x Add '-1y' to each side of the equation. y + -1y = -2x + -1y Combine like terms: y + -1y = 0 0 = -2x + -1y Simplifying 0 = -2x + -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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