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Simplifying (3u + 4)(5 + u) = 0 Reorder the terms: (4 + 3u)(5 + u) = 0 Multiply (4 + 3u) * (5 + u) (4(5 + u) + 3u * (5 + u)) = 0 ((5 * 4 + u * 4) + 3u * (5 + u)) = 0 ((20 + 4u) + 3u * (5 + u)) = 0 (20 + 4u + (5 * 3u + u * 3u)) = 0 (20 + 4u + (15u + 3u2)) = 0 Combine like terms: 4u + 15u = 19u (20 + 19u + 3u2) = 0 Solving 20 + 19u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + u)(4 + 3u) = 0Subproblem 1
Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 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 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 u = -5 Simplifying u = -5Subproblem 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 = {-5, -1.333333333}
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