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Simplifying (2u + 7)(1 + u) = 0 Reorder the terms: (7 + 2u)(1 + u) = 0 Multiply (7 + 2u) * (1 + u) (7(1 + u) + 2u * (1 + u)) = 0 ((1 * 7 + u * 7) + 2u * (1 + u)) = 0 ((7 + 7u) + 2u * (1 + u)) = 0 (7 + 7u + (1 * 2u + u * 2u)) = 0 (7 + 7u + (2u + 2u2)) = 0 Combine like terms: 7u + 2u = 9u (7 + 9u + 2u2) = 0 Solving 7 + 9u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + 2u)(1 + u) = 0Subproblem 1
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 = -3.5Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Solution
u = {-3.5, -1}
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