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