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Simplifying (3x + 4y + 1) * dx + (4x + 3y + -1) * dx = 0 Reorder the terms: (1 + 3x + 4y) * dx + (4x + 3y + -1) * dx = 0 Reorder the terms for easier multiplication: dx(1 + 3x + 4y) + (4x + 3y + -1) * dx = 0 (1 * dx + 3x * dx + 4y * dx) + (4x + 3y + -1) * dx = 0 Reorder the terms: (1dx + 4dxy + 3dx2) + (4x + 3y + -1) * dx = 0 (1dx + 4dxy + 3dx2) + (4x + 3y + -1) * dx = 0 Reorder the terms: 1dx + 4dxy + 3dx2 + (-1 + 4x + 3y) * dx = 0 Reorder the terms for easier multiplication: 1dx + 4dxy + 3dx2 + dx(-1 + 4x + 3y) = 0 1dx + 4dxy + 3dx2 + (-1 * dx + 4x * dx + 3y * dx) = 0 Reorder the terms: 1dx + 4dxy + 3dx2 + (-1dx + 3dxy + 4dx2) = 0 1dx + 4dxy + 3dx2 + (-1dx + 3dxy + 4dx2) = 0 Reorder the terms: 1dx + -1dx + 4dxy + 3dxy + 3dx2 + 4dx2 = 0 Combine like terms: 1dx + -1dx = 0 0 + 4dxy + 3dxy + 3dx2 + 4dx2 = 0 4dxy + 3dxy + 3dx2 + 4dx2 = 0 Combine like terms: 4dxy + 3dxy = 7dxy 7dxy + 3dx2 + 4dx2 = 0 Combine like terms: 3dx2 + 4dx2 = 7dx2 7dxy + 7dx2 = 0 Solving 7dxy + 7dx2 = 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), '7dx'. 7dx(y + x) = 0 Ignore the factor 7.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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