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Simplifying (2u + 5)(8 + u) = 0 Reorder the terms: (5 + 2u)(8 + u) = 0 Multiply (5 + 2u) * (8 + u) (5(8 + u) + 2u * (8 + u)) = 0 ((8 * 5 + u * 5) + 2u * (8 + u)) = 0 ((40 + 5u) + 2u * (8 + u)) = 0 (40 + 5u + (8 * 2u + u * 2u)) = 0 (40 + 5u + (16u + 2u2)) = 0 Combine like terms: 5u + 16u = 21u (40 + 21u + 2u2) = 0 Solving 40 + 21u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + u)(5 + 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 '(5 + 2u)' equal to zero and attempt to solve: Simplifying 5 + 2u = 0 Solving 5 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 2u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2u = 0 + -5 2u = 0 + -5 Combine like terms: 0 + -5 = -5 2u = -5 Divide each side by '2'. u = -2.5 Simplifying u = -2.5Solution
u = {-8, -2.5}
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