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