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Simplifying (12x + 5y + -9) * dx + (5x + 2y + -3) = 0 Reorder the terms: (-9 + 12x + 5y) * dx + (5x + 2y + -3) = 0 Reorder the terms for easier multiplication: dx(-9 + 12x + 5y) + (5x + 2y + -3) = 0 (-9 * dx + 12x * dx + 5y * dx) + (5x + 2y + -3) = 0 Reorder the terms: (-9dx + 5dxy + 12dx2) + (5x + 2y + -3) = 0 (-9dx + 5dxy + 12dx2) + (5x + 2y + -3) = 0 Reorder the terms: -9dx + 5dxy + 12dx2 + (-3 + 5x + 2y) = 0 Remove parenthesis around (-3 + 5x + 2y) -9dx + 5dxy + 12dx2 + -3 + 5x + 2y = 0 Reorder the terms: -3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 Solving -3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -9dx + 5dxy + 12dx2 + 5x + 3 + 2y = 0 + 3 Reorder the terms: -3 + 3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 + 3 -9dx + 5dxy + 12dx2 + 5x + 2y = 0 + 3 Combine like terms: 0 + 3 = 3 -9dx + 5dxy + 12dx2 + 5x + 2y = 3 Add '-5x' to each side of the equation. -9dx + 5dxy + 12dx2 + 5x + -5x + 2y = 3 + -5x Combine like terms: 5x + -5x = 0 -9dx + 5dxy + 12dx2 + 0 + 2y = 3 + -5x -9dx + 5dxy + 12dx2 + 2y = 3 + -5x Add '-2y' to each side of the equation. -9dx + 5dxy + 12dx2 + 2y + -2y = 3 + -5x + -2y Combine like terms: 2y + -2y = 0 -9dx + 5dxy + 12dx2 + 0 = 3 + -5x + -2y -9dx + 5dxy + 12dx2 = 3 + -5x + -2y Reorder the terms: -3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 3 + -5x + -2y + -3 + 5x + 2y Reorder the terms: -3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 3 + -3 + -5x + 5x + -2y + 2y Combine like terms: 3 + -3 = 0 -3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 + -5x + 5x + -2y + 2y -3 + -9dx + 5dxy + 12dx2 + 5x + 2y = -5x + 5x + -2y + 2y Combine like terms: -5x + 5x = 0 -3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 + -2y + 2y -3 + -9dx + 5dxy + 12dx2 + 5x + 2y = -2y + 2y Combine like terms: -2y + 2y = 0 -3 + -9dx + 5dxy + 12dx2 + 5x + 2y = 0 The solution to this equation could not be determined.
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