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Simplifying 6u2 + 23u + -18 = 0 Reorder the terms: -18 + 23u + 6u2 = 0 Solving -18 + 23u + 6u2 = 0 Solving for variable 'u'. Factor a trinomial. (-9 + -2u)(2 + -3u) = 0Subproblem 1
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 = -4.5Subproblem 2
Set the factor '(2 + -3u)' equal to zero and attempt to solve: Simplifying 2 + -3u = 0 Solving 2 + -3u = 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 + -3u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3u = 0 + -2 -3u = 0 + -2 Combine like terms: 0 + -2 = -2 -3u = -2 Divide each side by '-3'. u = 0.6666666667 Simplifying u = 0.6666666667Solution
u = {-4.5, 0.6666666667}
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