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