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Simplifying (2x + -4y + 5) * dy + (x + -2y + 3) = 0 Reorder the terms: (5 + 2x + -4y) * dy + (x + -2y + 3) = 0 Reorder the terms for easier multiplication: dy(5 + 2x + -4y) + (x + -2y + 3) = 0 (5 * dy + 2x * dy + -4y * dy) + (x + -2y + 3) = 0 Reorder the terms: (2dxy + 5dy + -4dy2) + (x + -2y + 3) = 0 (2dxy + 5dy + -4dy2) + (x + -2y + 3) = 0 Reorder the terms: 2dxy + 5dy + -4dy2 + (3 + x + -2y) = 0 Remove parenthesis around (3 + x + -2y) 2dxy + 5dy + -4dy2 + 3 + x + -2y = 0 Reorder the terms: 3 + 2dxy + 5dy + -4dy2 + x + -2y = 0 Solving 3 + 2dxy + 5dy + -4dy2 + x + -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 + 2dxy + 5dy + -4dy2 + x + -3 + -2y = 0 + -3 Reorder the terms: 3 + -3 + 2dxy + 5dy + -4dy2 + x + -2y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2dxy + 5dy + -4dy2 + x + -2y = 0 + -3 2dxy + 5dy + -4dy2 + x + -2y = 0 + -3 Combine like terms: 0 + -3 = -3 2dxy + 5dy + -4dy2 + x + -2y = -3 Add '-1x' to each side of the equation. 2dxy + 5dy + -4dy2 + x + -1x + -2y = -3 + -1x Combine like terms: x + -1x = 0 2dxy + 5dy + -4dy2 + 0 + -2y = -3 + -1x 2dxy + 5dy + -4dy2 + -2y = -3 + -1x Add '2y' to each side of the equation. 2dxy + 5dy + -4dy2 + -2y + 2y = -3 + -1x + 2y Combine like terms: -2y + 2y = 0 2dxy + 5dy + -4dy2 + 0 = -3 + -1x + 2y 2dxy + 5dy + -4dy2 = -3 + -1x + 2y Reorder the terms: 3 + 2dxy + 5dy + -4dy2 + x + -2y = -3 + -1x + 2y + 3 + x + -2y Reorder the terms: 3 + 2dxy + 5dy + -4dy2 + x + -2y = -3 + 3 + -1x + x + 2y + -2y Combine like terms: -3 + 3 = 0 3 + 2dxy + 5dy + -4dy2 + x + -2y = 0 + -1x + x + 2y + -2y 3 + 2dxy + 5dy + -4dy2 + x + -2y = -1x + x + 2y + -2y Combine like terms: -1x + x = 0 3 + 2dxy + 5dy + -4dy2 + x + -2y = 0 + 2y + -2y 3 + 2dxy + 5dy + -4dy2 + x + -2y = 2y + -2y Combine like terms: 2y + -2y = 0 3 + 2dxy + 5dy + -4dy2 + x + -2y = 0 The solution to this equation could not be determined.
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