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Simplifying 3u2 + -5 = 14u Reorder the terms: -5 + 3u2 = 14u Solving -5 + 3u2 = 14u Solving for variable 'u'. Reorder the terms: -5 + -14u + 3u2 = 14u + -14u Combine like terms: 14u + -14u = 0 -5 + -14u + 3u2 = 0 Factor a trinomial. (-1 + -3u)(5 + -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 '(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 = {-0.3333333333, 5}
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