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Simplifying 5u2 + 17u + 14 = 0 Reorder the terms: 14 + 17u + 5u2 = 0 Solving 14 + 17u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (2 + u)(7 + 5u) = 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 '(7 + 5u)' equal to zero and attempt to solve: Simplifying 7 + 5u = 0 Solving 7 + 5u = 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 + 5u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 5u = 0 + -7 5u = 0 + -7 Combine like terms: 0 + -7 = -7 5u = -7 Divide each side by '5'. u = -1.4 Simplifying u = -1.4Solution
u = {-2, -1.4}
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