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Simplifying (5u + 9)(5 + -1u) = 0 Reorder the terms: (9 + 5u)(5 + -1u) = 0 Multiply (9 + 5u) * (5 + -1u) (9(5 + -1u) + 5u * (5 + -1u)) = 0 ((5 * 9 + -1u * 9) + 5u * (5 + -1u)) = 0 ((45 + -9u) + 5u * (5 + -1u)) = 0 (45 + -9u + (5 * 5u + -1u * 5u)) = 0 (45 + -9u + (25u + -5u2)) = 0 Combine like terms: -9u + 25u = 16u (45 + 16u + -5u2) = 0 Solving 45 + 16u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + -1u)(9 + 5u) = 0Subproblem 1
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 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 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. 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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