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Simplifying (7y + 5)(6y + 5u + -2) = 0 Reorder the terms: (5 + 7y)(6y + 5u + -2) = 0 Reorder the terms: (5 + 7y)(-2 + 5u + 6y) = 0 Multiply (5 + 7y) * (-2 + 5u + 6y) (5(-2 + 5u + 6y) + 7y * (-2 + 5u + 6y)) = 0 ((-2 * 5 + 5u * 5 + 6y * 5) + 7y * (-2 + 5u + 6y)) = 0 ((-10 + 25u + 30y) + 7y * (-2 + 5u + 6y)) = 0 (-10 + 25u + 30y + (-2 * 7y + 5u * 7y + 6y * 7y)) = 0 Reorder the terms: (-10 + 25u + 30y + (35uy + -14y + 42y2)) = 0 (-10 + 25u + 30y + (35uy + -14y + 42y2)) = 0 Reorder the terms: (-10 + 25u + 35uy + 30y + -14y + 42y2) = 0 Combine like terms: 30y + -14y = 16y (-10 + 25u + 35uy + 16y + 42y2) = 0 Solving -10 + 25u + 35uy + 16y + 42y2 = 0 Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 25u + 35uy + 16y + 10 + 42y2 = 0 + 10 Reorder the terms: -10 + 10 + 25u + 35uy + 16y + 42y2 = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 25u + 35uy + 16y + 42y2 = 0 + 10 25u + 35uy + 16y + 42y2 = 0 + 10 Combine like terms: 0 + 10 = 10 25u + 35uy + 16y + 42y2 = 10 Add '-16y' to each side of the equation. 25u + 35uy + 16y + -16y + 42y2 = 10 + -16y Combine like terms: 16y + -16y = 0 25u + 35uy + 0 + 42y2 = 10 + -16y 25u + 35uy + 42y2 = 10 + -16y Add '-42y2' to each side of the equation. 25u + 35uy + 42y2 + -42y2 = 10 + -16y + -42y2 Combine like terms: 42y2 + -42y2 = 0 25u + 35uy + 0 = 10 + -16y + -42y2 25u + 35uy = 10 + -16y + -42y2 Reorder the terms: -10 + 25u + 35uy + 16y + 42y2 = 10 + -16y + -42y2 + -10 + 16y + 42y2 Reorder the terms: -10 + 25u + 35uy + 16y + 42y2 = 10 + -10 + -16y + 16y + -42y2 + 42y2 Combine like terms: 10 + -10 = 0 -10 + 25u + 35uy + 16y + 42y2 = 0 + -16y + 16y + -42y2 + 42y2 -10 + 25u + 35uy + 16y + 42y2 = -16y + 16y + -42y2 + 42y2 Combine like terms: -16y + 16y = 0 -10 + 25u + 35uy + 16y + 42y2 = 0 + -42y2 + 42y2 -10 + 25u + 35uy + 16y + 42y2 = -42y2 + 42y2 Combine like terms: -42y2 + 42y2 = 0 -10 + 25u + 35uy + 16y + 42y2 = 0 The solution to this equation could not be determined.
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