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Simplifying (2x + -6y + 3) * dx + -1(x + -3y + 1) = 0 Reorder the terms: (3 + 2x + -6y) * dx + -1(x + -3y + 1) = 0 Reorder the terms for easier multiplication: dx(3 + 2x + -6y) + -1(x + -3y + 1) = 0 (3 * dx + 2x * dx + -6y * dx) + -1(x + -3y + 1) = 0 Reorder the terms: (3dx + -6dxy + 2dx2) + -1(x + -3y + 1) = 0 (3dx + -6dxy + 2dx2) + -1(x + -3y + 1) = 0 Reorder the terms: 3dx + -6dxy + 2dx2 + -1(1 + x + -3y) = 0 3dx + -6dxy + 2dx2 + (1 * -1 + x * -1 + -3y * -1) = 0 3dx + -6dxy + 2dx2 + (-1 + -1x + 3y) = 0 Reorder the terms: -1 + 3dx + -6dxy + 2dx2 + -1x + 3y = 0 Solving -1 + 3dx + -6dxy + 2dx2 + -1x + 3y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3dx + -6dxy + 2dx2 + -1x + 1 + 3y = 0 + 1 Reorder the terms: -1 + 1 + 3dx + -6dxy + 2dx2 + -1x + 3y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3dx + -6dxy + 2dx2 + -1x + 3y = 0 + 1 3dx + -6dxy + 2dx2 + -1x + 3y = 0 + 1 Combine like terms: 0 + 1 = 1 3dx + -6dxy + 2dx2 + -1x + 3y = 1 Add 'x' to each side of the equation. 3dx + -6dxy + 2dx2 + -1x + x + 3y = 1 + x Combine like terms: -1x + x = 0 3dx + -6dxy + 2dx2 + 0 + 3y = 1 + x 3dx + -6dxy + 2dx2 + 3y = 1 + x Add '-3y' to each side of the equation. 3dx + -6dxy + 2dx2 + 3y + -3y = 1 + x + -3y Combine like terms: 3y + -3y = 0 3dx + -6dxy + 2dx2 + 0 = 1 + x + -3y 3dx + -6dxy + 2dx2 = 1 + x + -3y Reorder the terms: -1 + 3dx + -6dxy + 2dx2 + -1x + 3y = 1 + x + -3y + -1 + -1x + 3y Reorder the terms: -1 + 3dx + -6dxy + 2dx2 + -1x + 3y = 1 + -1 + x + -1x + -3y + 3y Combine like terms: 1 + -1 = 0 -1 + 3dx + -6dxy + 2dx2 + -1x + 3y = 0 + x + -1x + -3y + 3y -1 + 3dx + -6dxy + 2dx2 + -1x + 3y = x + -1x + -3y + 3y Combine like terms: x + -1x = 0 -1 + 3dx + -6dxy + 2dx2 + -1x + 3y = 0 + -3y + 3y -1 + 3dx + -6dxy + 2dx2 + -1x + 3y = -3y + 3y Combine like terms: -3y + 3y = 0 -1 + 3dx + -6dxy + 2dx2 + -1x + 3y = 0 The solution to this equation could not be determined.
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