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Simplifying (3 + -1u)(2u + 9) = 0 Reorder the terms: (3 + -1u)(9 + 2u) = 0 Multiply (3 + -1u) * (9 + 2u) (3(9 + 2u) + -1u * (9 + 2u)) = 0 ((9 * 3 + 2u * 3) + -1u * (9 + 2u)) = 0 ((27 + 6u) + -1u * (9 + 2u)) = 0 (27 + 6u + (9 * -1u + 2u * -1u)) = 0 (27 + 6u + (-9u + -2u2)) = 0 Combine like terms: 6u + -9u = -3u (27 + -3u + -2u2) = 0 Solving 27 + -3u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (3 + -1u)(9 + 2u) = 0Subproblem 1
Set the factor '(3 + -1u)' equal to zero and attempt to solve: Simplifying 3 + -1u = 0 Solving 3 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1u = 0 + -3 -1u = 0 + -3 Combine like terms: 0 + -3 = -3 -1u = -3 Divide each side by '-1'. u = 3 Simplifying u = 3Subproblem 2
Set the factor '(9 + 2u)' equal to zero and attempt to solve: Simplifying 9 + 2u = 0 Solving 9 + 2u = 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 + 2u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2u = 0 + -9 2u = 0 + -9 Combine like terms: 0 + -9 = -9 2u = -9 Divide each side by '2'. u = -4.5 Simplifying u = -4.5Solution
u = {3, -4.5}
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