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