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