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Simplifying (5u + 9)(2 + u) = 0 Reorder the terms: (9 + 5u)(2 + u) = 0 Multiply (9 + 5u) * (2 + u) (9(2 + u) + 5u * (2 + u)) = 0 ((2 * 9 + u * 9) + 5u * (2 + u)) = 0 ((18 + 9u) + 5u * (2 + u)) = 0 (18 + 9u + (2 * 5u + u * 5u)) = 0 (18 + 9u + (10u + 5u2)) = 0 Combine like terms: 9u + 10u = 19u (18 + 19u + 5u2) = 0 Solving 18 + 19u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (2 + u)(9 + 5u) = 0Subproblem 1
Set the factor '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Subproblem 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 = {-2, -1.8}
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