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Simplifying (2u + 7)(8 + u) = 0 Reorder the terms: (7 + 2u)(8 + u) = 0 Multiply (7 + 2u) * (8 + u) (7(8 + u) + 2u * (8 + u)) = 0 ((8 * 7 + u * 7) + 2u * (8 + u)) = 0 ((56 + 7u) + 2u * (8 + u)) = 0 (56 + 7u + (8 * 2u + u * 2u)) = 0 (56 + 7u + (16u + 2u2)) = 0 Combine like terms: 7u + 16u = 23u (56 + 23u + 2u2) = 0 Solving 56 + 23u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + u)(7 + 2u) = 0Subproblem 1
Set the factor '(8 + u)' equal to zero and attempt to solve: Simplifying 8 + u = 0 Solving 8 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + u = 0 + -8 u = 0 + -8 Combine like terms: 0 + -8 = -8 u = -8 Simplifying u = -8Subproblem 2
Set the factor '(7 + 2u)' equal to zero and attempt to solve: Simplifying 7 + 2u = 0 Solving 7 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2u = 0 + -7 2u = 0 + -7 Combine like terms: 0 + -7 = -7 2u = -7 Divide each side by '2'. u = -3.5 Simplifying u = -3.5Solution
u = {-8, -3.5}
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