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Simplifying (2u + 7)(2 + u) = 0 Reorder the terms: (7 + 2u)(2 + u) = 0 Multiply (7 + 2u) * (2 + u) (7(2 + u) + 2u * (2 + u)) = 0 ((2 * 7 + u * 7) + 2u * (2 + u)) = 0 ((14 + 7u) + 2u * (2 + u)) = 0 (14 + 7u + (2 * 2u + u * 2u)) = 0 (14 + 7u + (4u + 2u2)) = 0 Combine like terms: 7u + 4u = 11u (14 + 11u + 2u2) = 0 Solving 14 + 11u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + 2u)(2 + 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 '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Solution
u = {-3.5, -2}
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