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Simplifying (5u + 9)(5 + u) = 0 Reorder the terms: (9 + 5u)(5 + u) = 0 Multiply (9 + 5u) * (5 + u) (9(5 + u) + 5u * (5 + u)) = 0 ((5 * 9 + u * 9) + 5u * (5 + u)) = 0 ((45 + 9u) + 5u * (5 + u)) = 0 (45 + 9u + (5 * 5u + u * 5u)) = 0 (45 + 9u + (25u + 5u2)) = 0 Combine like terms: 9u + 25u = 34u (45 + 34u + 5u2) = 0 Solving 45 + 34u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + u)(9 + 5u) = 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 '(9 + 5u)' equal to zero and attempt to solve: Simplifying 9 + 5u = 0 Solving 9 + 5u = 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 + 5u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5u = 0 + -9 5u = 0 + -9 Combine like terms: 0 + -9 = -9 5u = -9 Divide each side by '5'. u = -1.8 Simplifying u = -1.8Solution
u = {-5, -1.8}
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