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Simplifying (3u + 5)(9 + u) = 0 Reorder the terms: (5 + 3u)(9 + u) = 0 Multiply (5 + 3u) * (9 + u) (5(9 + u) + 3u * (9 + u)) = 0 ((9 * 5 + u * 5) + 3u * (9 + u)) = 0 ((45 + 5u) + 3u * (9 + u)) = 0 (45 + 5u + (9 * 3u + u * 3u)) = 0 (45 + 5u + (27u + 3u2)) = 0 Combine like terms: 5u + 27u = 32u (45 + 32u + 3u2) = 0 Solving 45 + 32u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (9 + u)(5 + 3u) = 0Subproblem 1
Set the factor '(9 + u)' equal to zero and attempt to solve: Simplifying 9 + u = 0 Solving 9 + u = 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 + u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + u = 0 + -9 u = 0 + -9 Combine like terms: 0 + -9 = -9 u = -9 Simplifying u = -9Subproblem 2
Set the factor '(5 + 3u)' equal to zero and attempt to solve: Simplifying 5 + 3u = 0 Solving 5 + 3u = 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 + 3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3u = 0 + -5 3u = 0 + -5 Combine like terms: 0 + -5 = -5 3u = -5 Divide each side by '3'. u = -1.666666667 Simplifying u = -1.666666667Solution
u = {-9, -1.666666667}
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