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Simplifying (1 + -2x + -3y) * dx = (4x + 6y) * dx Reorder the terms for easier multiplication: dx(1 + -2x + -3y) = (4x + 6y) * dx (1 * dx + -2x * dx + -3y * dx) = (4x + 6y) * dx Reorder the terms: (1dx + -3dxy + -2dx2) = (4x + 6y) * dx (1dx + -3dxy + -2dx2) = (4x + 6y) * dx Reorder the terms for easier multiplication: 1dx + -3dxy + -2dx2 = dx(4x + 6y) 1dx + -3dxy + -2dx2 = (4x * dx + 6y * dx) Reorder the terms: 1dx + -3dxy + -2dx2 = (6dxy + 4dx2) 1dx + -3dxy + -2dx2 = (6dxy + 4dx2) Solving 1dx + -3dxy + -2dx2 = 6dxy + 4dx2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6dxy' to each side of the equation. 1dx + -3dxy + -6dxy + -2dx2 = 6dxy + -6dxy + 4dx2 Combine like terms: -3dxy + -6dxy = -9dxy 1dx + -9dxy + -2dx2 = 6dxy + -6dxy + 4dx2 Combine like terms: 6dxy + -6dxy = 0 1dx + -9dxy + -2dx2 = 0 + 4dx2 1dx + -9dxy + -2dx2 = 4dx2 Add '-4dx2' to each side of the equation. 1dx + -9dxy + -2dx2 + -4dx2 = 4dx2 + -4dx2 Combine like terms: -2dx2 + -4dx2 = -6dx2 1dx + -9dxy + -6dx2 = 4dx2 + -4dx2 Combine like terms: 4dx2 + -4dx2 = 0 1dx + -9dxy + -6dx2 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(1 + -9y + -6x) = 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 '(1 + -9y + -6x)' equal to zero and attempt to solve: Simplifying 1 + -9y + -6x = 0 Reorder the terms: 1 + -6x + -9y = 0 Solving 1 + -6x + -9y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -6x + -1 + -9y = 0 + -1 Reorder the terms: 1 + -1 + -6x + -9y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -6x + -9y = 0 + -1 -6x + -9y = 0 + -1 Combine like terms: 0 + -1 = -1 -6x + -9y = -1 Add '6x' to each side of the equation. -6x + 6x + -9y = -1 + 6x Combine like terms: -6x + 6x = 0 0 + -9y = -1 + 6x -9y = -1 + 6x Add '9y' to each side of the equation. -9y + 9y = -1 + 6x + 9y Combine like terms: -9y + 9y = 0 0 = -1 + 6x + 9y Simplifying 0 = -1 + 6x + 9y 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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