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Simplifying (8y + 10x) * dx + (5y + 7x) = 0 Reorder the terms: (10x + 8y) * dx + (5y + 7x) = 0 Reorder the terms for easier multiplication: dx(10x + 8y) + (5y + 7x) = 0 (10x * dx + 8y * dx) + (5y + 7x) = 0 Reorder the terms: (8dxy + 10dx2) + (5y + 7x) = 0 (8dxy + 10dx2) + (5y + 7x) = 0 Reorder the terms: 8dxy + 10dx2 + (7x + 5y) = 0 Remove parenthesis around (7x + 5y) 8dxy + 10dx2 + 7x + 5y = 0 Solving 8dxy + 10dx2 + 7x + 5y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7x' to each side of the equation. 8dxy + 10dx2 + 7x + -7x + 5y = 0 + -7x Combine like terms: 7x + -7x = 0 8dxy + 10dx2 + 0 + 5y = 0 + -7x 8dxy + 10dx2 + 5y = 0 + -7x Remove the zero: 8dxy + 10dx2 + 5y = -7x Add '-5y' to each side of the equation. 8dxy + 10dx2 + 5y + -5y = -7x + -5y Combine like terms: 5y + -5y = 0 8dxy + 10dx2 + 0 = -7x + -5y 8dxy + 10dx2 = -7x + -5y Reorder the terms: 8dxy + 10dx2 + 7x + 5y = -7x + 7x + -5y + 5y Combine like terms: -7x + 7x = 0 8dxy + 10dx2 + 7x + 5y = 0 + -5y + 5y 8dxy + 10dx2 + 7x + 5y = -5y + 5y Combine like terms: -5y + 5y = 0 8dxy + 10dx2 + 7x + 5y = 0 The solution to this equation could not be determined.
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