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Simplifying (3u + 8)(6 + -1u) = 0 Reorder the terms: (8 + 3u)(6 + -1u) = 0 Multiply (8 + 3u) * (6 + -1u) (8(6 + -1u) + 3u * (6 + -1u)) = 0 ((6 * 8 + -1u * 8) + 3u * (6 + -1u)) = 0 ((48 + -8u) + 3u * (6 + -1u)) = 0 (48 + -8u + (6 * 3u + -1u * 3u)) = 0 (48 + -8u + (18u + -3u2)) = 0 Combine like terms: -8u + 18u = 10u (48 + 10u + -3u2) = 0 Solving 48 + 10u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (6 + -1u)(8 + 3u) = 0Subproblem 1
Set the factor '(6 + -1u)' equal to zero and attempt to solve: Simplifying 6 + -1u = 0 Solving 6 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1u = 0 + -6 -1u = 0 + -6 Combine like terms: 0 + -6 = -6 -1u = -6 Divide each side by '-1'. u = 6 Simplifying u = 6Subproblem 2
Set the factor '(8 + 3u)' equal to zero and attempt to solve: Simplifying 8 + 3u = 0 Solving 8 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3u = 0 + -8 3u = 0 + -8 Combine like terms: 0 + -8 = -8 3u = -8 Divide each side by '3'. u = -2.666666667 Simplifying u = -2.666666667Solution
u = {6, -2.666666667}
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