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Simplifying (x + 2y + 2) * dx + (-3x + -6y + 4) = 0 Reorder the terms: (2 + x + 2y) * dx + (-3x + -6y + 4) = 0 Reorder the terms for easier multiplication: dx(2 + x + 2y) + (-3x + -6y + 4) = 0 (2 * dx + x * dx + 2y * dx) + (-3x + -6y + 4) = 0 Reorder the terms: (2dx + 2dxy + dx2) + (-3x + -6y + 4) = 0 (2dx + 2dxy + dx2) + (-3x + -6y + 4) = 0 Reorder the terms: 2dx + 2dxy + dx2 + (4 + -3x + -6y) = 0 Remove parenthesis around (4 + -3x + -6y) 2dx + 2dxy + dx2 + 4 + -3x + -6y = 0 Reorder the terms: 4 + 2dx + 2dxy + dx2 + -3x + -6y = 0 Solving 4 + 2dx + 2dxy + dx2 + -3x + -6y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2dx + 2dxy + dx2 + -3x + -4 + -6y = 0 + -4 Reorder the terms: 4 + -4 + 2dx + 2dxy + dx2 + -3x + -6y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2dx + 2dxy + dx2 + -3x + -6y = 0 + -4 2dx + 2dxy + dx2 + -3x + -6y = 0 + -4 Combine like terms: 0 + -4 = -4 2dx + 2dxy + dx2 + -3x + -6y = -4 Add '3x' to each side of the equation. 2dx + 2dxy + dx2 + -3x + 3x + -6y = -4 + 3x Combine like terms: -3x + 3x = 0 2dx + 2dxy + dx2 + 0 + -6y = -4 + 3x 2dx + 2dxy + dx2 + -6y = -4 + 3x Add '6y' to each side of the equation. 2dx + 2dxy + dx2 + -6y + 6y = -4 + 3x + 6y Combine like terms: -6y + 6y = 0 2dx + 2dxy + dx2 + 0 = -4 + 3x + 6y 2dx + 2dxy + dx2 = -4 + 3x + 6y Reorder the terms: 4 + 2dx + 2dxy + dx2 + -3x + -6y = -4 + 3x + 6y + 4 + -3x + -6y Reorder the terms: 4 + 2dx + 2dxy + dx2 + -3x + -6y = -4 + 4 + 3x + -3x + 6y + -6y Combine like terms: -4 + 4 = 0 4 + 2dx + 2dxy + dx2 + -3x + -6y = 0 + 3x + -3x + 6y + -6y 4 + 2dx + 2dxy + dx2 + -3x + -6y = 3x + -3x + 6y + -6y Combine like terms: 3x + -3x = 0 4 + 2dx + 2dxy + dx2 + -3x + -6y = 0 + 6y + -6y 4 + 2dx + 2dxy + dx2 + -3x + -6y = 6y + -6y Combine like terms: 6y + -6y = 0 4 + 2dx + 2dxy + dx2 + -3x + -6y = 0 The solution to this equation could not be determined.
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