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Simplifying 2u2 + 27u + -14 = 0 Reorder the terms: -14 + 27u + 2u2 = 0 Solving -14 + 27u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (-14 + -1u)(1 + -2u) = 0Subproblem 1
Set the factor '(-14 + -1u)' equal to zero and attempt to solve: Simplifying -14 + -1u = 0 Solving -14 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1u = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1u = 0 + 14 -1u = 0 + 14 Combine like terms: 0 + 14 = 14 -1u = 14 Divide each side by '-1'. u = -14 Simplifying u = -14Subproblem 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 = {-14, 0.5}
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