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Simplifying 3u2 = 16u + -5 Reorder the terms: 3u2 = -5 + 16u Solving 3u2 = -5 + 16u Solving for variable 'u'. Reorder the terms: 5 + -16u + 3u2 = -5 + 16u + 5 + -16u Reorder the terms: 5 + -16u + 3u2 = -5 + 5 + 16u + -16u Combine like terms: -5 + 5 = 0 5 + -16u + 3u2 = 0 + 16u + -16u 5 + -16u + 3u2 = 16u + -16u Combine like terms: 16u + -16u = 0 5 + -16u + 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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