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Simplifying (2x + 3y + 1) * dx + (4x + 6y + -5) = 0 Reorder the terms: (1 + 2x + 3y) * dx + (4x + 6y + -5) = 0 Reorder the terms for easier multiplication: dx(1 + 2x + 3y) + (4x + 6y + -5) = 0 (1 * dx + 2x * dx + 3y * dx) + (4x + 6y + -5) = 0 Reorder the terms: (1dx + 3dxy + 2dx2) + (4x + 6y + -5) = 0 (1dx + 3dxy + 2dx2) + (4x + 6y + -5) = 0 Reorder the terms: 1dx + 3dxy + 2dx2 + (-5 + 4x + 6y) = 0 Remove parenthesis around (-5 + 4x + 6y) 1dx + 3dxy + 2dx2 + -5 + 4x + 6y = 0 Reorder the terms: -5 + 1dx + 3dxy + 2dx2 + 4x + 6y = 0 Solving -5 + 1dx + 3dxy + 2dx2 + 4x + 6y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 1dx + 3dxy + 2dx2 + 4x + 5 + 6y = 0 + 5 Reorder the terms: -5 + 5 + 1dx + 3dxy + 2dx2 + 4x + 6y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 1dx + 3dxy + 2dx2 + 4x + 6y = 0 + 5 1dx + 3dxy + 2dx2 + 4x + 6y = 0 + 5 Combine like terms: 0 + 5 = 5 1dx + 3dxy + 2dx2 + 4x + 6y = 5 Add '-4x' to each side of the equation. 1dx + 3dxy + 2dx2 + 4x + -4x + 6y = 5 + -4x Combine like terms: 4x + -4x = 0 1dx + 3dxy + 2dx2 + 0 + 6y = 5 + -4x 1dx + 3dxy + 2dx2 + 6y = 5 + -4x Add '-6y' to each side of the equation. 1dx + 3dxy + 2dx2 + 6y + -6y = 5 + -4x + -6y Combine like terms: 6y + -6y = 0 1dx + 3dxy + 2dx2 + 0 = 5 + -4x + -6y 1dx + 3dxy + 2dx2 = 5 + -4x + -6y Reorder the terms: -5 + 1dx + 3dxy + 2dx2 + 4x + 6y = 5 + -4x + -6y + -5 + 4x + 6y Reorder the terms: -5 + 1dx + 3dxy + 2dx2 + 4x + 6y = 5 + -5 + -4x + 4x + -6y + 6y Combine like terms: 5 + -5 = 0 -5 + 1dx + 3dxy + 2dx2 + 4x + 6y = 0 + -4x + 4x + -6y + 6y -5 + 1dx + 3dxy + 2dx2 + 4x + 6y = -4x + 4x + -6y + 6y Combine like terms: -4x + 4x = 0 -5 + 1dx + 3dxy + 2dx2 + 4x + 6y = 0 + -6y + 6y -5 + 1dx + 3dxy + 2dx2 + 4x + 6y = -6y + 6y Combine like terms: -6y + 6y = 0 -5 + 1dx + 3dxy + 2dx2 + 4x + 6y = 0 The solution to this equation could not be determined.
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