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Simplifying 8u2 + 19u + 6 = 0 Reorder the terms: 6 + 19u + 8u2 = 0 Solving 6 + 19u + 8u2 = 0 Solving for variable 'u'. Factor a trinomial. (2 + u)(3 + 8u) = 0Subproblem 1
Set the factor '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 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 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Subproblem 2
Set the factor '(3 + 8u)' equal to zero and attempt to solve: Simplifying 3 + 8u = 0 Solving 3 + 8u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 8u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 8u = 0 + -3 8u = 0 + -3 Combine like terms: 0 + -3 = -3 8u = -3 Divide each side by '8'. u = -0.375 Simplifying u = -0.375Solution
u = {-2, -0.375}
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