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Simplifying (8 + u)(2u + 9) = 0 Reorder the terms: (8 + u)(9 + 2u) = 0 Multiply (8 + u) * (9 + 2u) (8(9 + 2u) + u(9 + 2u)) = 0 ((9 * 8 + 2u * 8) + u(9 + 2u)) = 0 ((72 + 16u) + u(9 + 2u)) = 0 (72 + 16u + (9 * u + 2u * u)) = 0 (72 + 16u + (9u + 2u2)) = 0 Combine like terms: 16u + 9u = 25u (72 + 25u + 2u2) = 0 Solving 72 + 25u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + u)(9 + 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 '(9 + 2u)' equal to zero and attempt to solve: Simplifying 9 + 2u = 0 Solving 9 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2u = 0 + -9 2u = 0 + -9 Combine like terms: 0 + -9 = -9 2u = -9 Divide each side by '2'. u = -4.5 Simplifying u = -4.5Solution
u = {-8, -4.5}
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