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Simplifying 12u2 + 17u = -5 Reorder the terms: 17u + 12u2 = -5 Solving 17u + 12u2 = -5 Solving for variable 'u'. Reorder the terms: 5 + 17u + 12u2 = -5 + 5 Combine like terms: -5 + 5 = 0 5 + 17u + 12u2 = 0 Factor a trinomial. (1 + u)(5 + 12u) = 0Subproblem 1
Set the factor '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 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 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Subproblem 2
Set the factor '(5 + 12u)' equal to zero and attempt to solve: Simplifying 5 + 12u = 0 Solving 5 + 12u = 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 + 12u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 12u = 0 + -5 12u = 0 + -5 Combine like terms: 0 + -5 = -5 12u = -5 Divide each side by '12'. u = -0.4166666667 Simplifying u = -0.4166666667Solution
u = {-1, -0.4166666667}
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