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Simplifying (4y + 3x) * dy + (y + -2x) = 0 Reorder the terms: (3x + 4y) * dy + (y + -2x) = 0 Reorder the terms for easier multiplication: dy(3x + 4y) + (y + -2x) = 0 (3x * dy + 4y * dy) + (y + -2x) = 0 (3dxy + 4dy2) + (y + -2x) = 0 Reorder the terms: 3dxy + 4dy2 + (-2x + y) = 0 Remove parenthesis around (-2x + y) 3dxy + 4dy2 + -2x + y = 0 Solving 3dxy + 4dy2 + -2x + y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2x' to each side of the equation. 3dxy + 4dy2 + -2x + 2x + y = 0 + 2x Combine like terms: -2x + 2x = 0 3dxy + 4dy2 + 0 + y = 0 + 2x 3dxy + 4dy2 + y = 0 + 2x Remove the zero: 3dxy + 4dy2 + y = 2x Add '-1y' to each side of the equation. 3dxy + 4dy2 + y + -1y = 2x + -1y Combine like terms: y + -1y = 0 3dxy + 4dy2 + 0 = 2x + -1y 3dxy + 4dy2 = 2x + -1y Reorder the terms: 3dxy + 4dy2 + -2x + y = 2x + -2x + -1y + y Combine like terms: 2x + -2x = 0 3dxy + 4dy2 + -2x + y = 0 + -1y + y 3dxy + 4dy2 + -2x + y = -1y + y Combine like terms: -1y + y = 0 3dxy + 4dy2 + -2x + y = 0 The solution to this equation could not be determined.
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