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Simplifying (2u + 1)(7 + u) = 0 Reorder the terms: (1 + 2u)(7 + u) = 0 Multiply (1 + 2u) * (7 + u) (1(7 + u) + 2u * (7 + u)) = 0 ((7 * 1 + u * 1) + 2u * (7 + u)) = 0 ((7 + 1u) + 2u * (7 + u)) = 0 (7 + 1u + (7 * 2u + u * 2u)) = 0 (7 + 1u + (14u + 2u2)) = 0 Combine like terms: 1u + 14u = 15u (7 + 15u + 2u2) = 0 Solving 7 + 15u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + u)(1 + 2u) = 0Subproblem 1
Set the factor '(7 + u)' equal to zero and attempt to solve: Simplifying 7 + u = 0 Solving 7 + u = 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 + u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + u = 0 + -7 u = 0 + -7 Combine like terms: 0 + -7 = -7 u = -7 Simplifying u = -7Subproblem 2
Set the factor '(1 + 2u)' equal to zero and attempt to solve: Simplifying 1 + 2u = 0 Solving 1 + 2u = 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 + 2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2u = 0 + -1 2u = 0 + -1 Combine like terms: 0 + -1 = -1 2u = -1 Divide each side by '2'. u = -0.5 Simplifying u = -0.5Solution
u = {-7, -0.5}
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