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Simplifying (2x + -3y) * dx + (4x + 9y) = 0 Reorder the terms for easier multiplication: dx(2x + -3y) + (4x + 9y) = 0 (2x * dx + -3y * dx) + (4x + 9y) = 0 Reorder the terms: (-3dxy + 2dx2) + (4x + 9y) = 0 (-3dxy + 2dx2) + (4x + 9y) = 0 Remove parenthesis around (4x + 9y) -3dxy + 2dx2 + 4x + 9y = 0 Solving -3dxy + 2dx2 + 4x + 9y = 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. -3dxy + 2dx2 + 4x + -4x + 9y = 0 + -4x Combine like terms: 4x + -4x = 0 -3dxy + 2dx2 + 0 + 9y = 0 + -4x -3dxy + 2dx2 + 9y = 0 + -4x Remove the zero: -3dxy + 2dx2 + 9y = -4x Add '-9y' to each side of the equation. -3dxy + 2dx2 + 9y + -9y = -4x + -9y Combine like terms: 9y + -9y = 0 -3dxy + 2dx2 + 0 = -4x + -9y -3dxy + 2dx2 = -4x + -9y Reorder the terms: -3dxy + 2dx2 + 4x + 9y = -4x + 4x + -9y + 9y Combine like terms: -4x + 4x = 0 -3dxy + 2dx2 + 4x + 9y = 0 + -9y + 9y -3dxy + 2dx2 + 4x + 9y = -9y + 9y Combine like terms: -9y + 9y = 0 -3dxy + 2dx2 + 4x + 9y = 0 The solution to this equation could not be determined.
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