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Simplifying 6u2 + -37u + 35 = 0 Reorder the terms: 35 + -37u + 6u2 = 0 Solving 35 + -37u + 6u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + -6u)(5 + -1u) = 0Subproblem 1
Set the factor '(7 + -6u)' equal to zero and attempt to solve: Simplifying 7 + -6u = 0 Solving 7 + -6u = 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 + -6u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -6u = 0 + -7 -6u = 0 + -7 Combine like terms: 0 + -7 = -7 -6u = -7 Divide each side by '-6'. u = 1.166666667 Simplifying u = 1.166666667Subproblem 2
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 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 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Solution
u = {1.166666667, 5}
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