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Simplifying (2x + y + 6) * dx + (2x + y) = 0 Reorder the terms: (6 + 2x + y) * dx + (2x + y) = 0 Reorder the terms for easier multiplication: dx(6 + 2x + y) + (2x + y) = 0 (6 * dx + 2x * dx + y * dx) + (2x + y) = 0 Reorder the terms: (6dx + dxy + 2dx2) + (2x + y) = 0 (6dx + dxy + 2dx2) + (2x + y) = 0 Remove parenthesis around (2x + y) 6dx + dxy + 2dx2 + 2x + y = 0 Solving 6dx + dxy + 2dx2 + 2x + y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 6dx + dxy + 2dx2 + 2x + -2x + y = 0 + -2x Combine like terms: 2x + -2x = 0 6dx + dxy + 2dx2 + 0 + y = 0 + -2x 6dx + dxy + 2dx2 + y = 0 + -2x Remove the zero: 6dx + dxy + 2dx2 + y = -2x Add '-1y' to each side of the equation. 6dx + dxy + 2dx2 + y + -1y = -2x + -1y Combine like terms: y + -1y = 0 6dx + dxy + 2dx2 + 0 = -2x + -1y 6dx + dxy + 2dx2 = -2x + -1y Reorder the terms: 6dx + dxy + 2dx2 + 2x + y = -2x + 2x + -1y + y Combine like terms: -2x + 2x = 0 6dx + dxy + 2dx2 + 2x + y = 0 + -1y + y 6dx + dxy + 2dx2 + 2x + y = -1y + y Combine like terms: -1y + y = 0 6dx + dxy + 2dx2 + 2x + y = 0 The solution to this equation could not be determined.
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