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Simplifying (3u + 4)(9 + -1u) = 0 Reorder the terms: (4 + 3u)(9 + -1u) = 0 Multiply (4 + 3u) * (9 + -1u) (4(9 + -1u) + 3u * (9 + -1u)) = 0 ((9 * 4 + -1u * 4) + 3u * (9 + -1u)) = 0 ((36 + -4u) + 3u * (9 + -1u)) = 0 (36 + -4u + (9 * 3u + -1u * 3u)) = 0 (36 + -4u + (27u + -3u2)) = 0 Combine like terms: -4u + 27u = 23u (36 + 23u + -3u2) = 0 Solving 36 + 23u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (9 + -1u)(4 + 3u) = 0Subproblem 1
Set the factor '(9 + -1u)' equal to zero and attempt to solve: Simplifying 9 + -1u = 0 Solving 9 + -1u = 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 + -1u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1u = 0 + -9 -1u = 0 + -9 Combine like terms: 0 + -9 = -9 -1u = -9 Divide each side by '-1'. u = 9 Simplifying u = 9Subproblem 2
Set the factor '(4 + 3u)' equal to zero and attempt to solve: Simplifying 4 + 3u = 0 Solving 4 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3u = 0 + -4 3u = 0 + -4 Combine like terms: 0 + -4 = -4 3u = -4 Divide each side by '3'. u = -1.333333333 Simplifying u = -1.333333333Solution
u = {9, -1.333333333}
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