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Simplifying 6u2 + 17u + -10 = 0 Reorder the terms: -10 + 17u + 6u2 = 0 Solving -10 + 17u + 6u2 = 0 Solving for variable 'u'. Factor a trinomial. (-10 + -3u)(1 + -2u) = 0Subproblem 1
Set the factor '(-10 + -3u)' equal to zero and attempt to solve: Simplifying -10 + -3u = 0 Solving -10 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -3u = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -3u = 0 + 10 -3u = 0 + 10 Combine like terms: 0 + 10 = 10 -3u = 10 Divide each side by '-3'. u = -3.333333333 Simplifying u = -3.333333333Subproblem 2
Set the factor '(1 + -2u)' equal to zero and attempt to solve: Simplifying 1 + -2u = 0 Solving 1 + -2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2u = 0 + -1 -2u = 0 + -1 Combine like terms: 0 + -1 = -1 -2u = -1 Divide each side by '-2'. u = 0.5 Simplifying u = 0.5Solution
u = {-3.333333333, 0.5}
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