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Simplifying 3u2 + -40u + 13 = 0 Reorder the terms: 13 + -40u + 3u2 = 0 Solving 13 + -40u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (1 + -3u)(13 + -1u) = 0Subproblem 1
Set the factor '(1 + -3u)' equal to zero and attempt to solve: Simplifying 1 + -3u = 0 Solving 1 + -3u = 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 + -3u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3u = 0 + -1 -3u = 0 + -1 Combine like terms: 0 + -1 = -1 -3u = -1 Divide each side by '-3'. u = 0.3333333333 Simplifying u = 0.3333333333Subproblem 2
Set the factor '(13 + -1u)' equal to zero and attempt to solve: Simplifying 13 + -1u = 0 Solving 13 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1u = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1u = 0 + -13 -1u = 0 + -13 Combine like terms: 0 + -13 = -13 -1u = -13 Divide each side by '-1'. u = 13 Simplifying u = 13Solution
u = {0.3333333333, 13}
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