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