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Simplifying -3u2 + -1u + 14 = 0 Reorder the terms: 14 + -1u + -3u2 = 0 Solving 14 + -1u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (2 + -1u)(7 + 3u) = 0Subproblem 1
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 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 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Subproblem 2
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 = -2.333333333Solution
u = {2, -2.333333333}
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