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Simplifying 3u2 + -10u + -8 = 0 Reorder the terms: -8 + -10u + 3u2 = 0 Solving -8 + -10u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-2 + -3u)(4 + -1u) = 0Subproblem 1
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 = -0.6666666667Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Solution
u = {-0.6666666667, 4}
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