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Simplifying 3u2 + -8u + -35 = 0 Reorder the terms: -35 + -8u + 3u2 = 0 Solving -35 + -8u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + -3u)(5 + -1u) = 0Subproblem 1
Set the factor '(-7 + -3u)' equal to zero and attempt to solve: Simplifying -7 + -3u = 0 Solving -7 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -3u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -3u = 0 + 7 -3u = 0 + 7 Combine like terms: 0 + 7 = 7 -3u = 7 Divide each side by '-3'. u = -2.333333333 Simplifying u = -2.333333333Subproblem 2
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 = 5Solution
u = {-2.333333333, 5}
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