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Simplifying 18u2 = 3u + 1 Reorder the terms: 18u2 = 1 + 3u Solving 18u2 = 1 + 3u Solving for variable 'u'. Reorder the terms: -1 + -3u + 18u2 = 1 + 3u + -1 + -3u Reorder the terms: -1 + -3u + 18u2 = 1 + -1 + 3u + -3u Combine like terms: 1 + -1 = 0 -1 + -3u + 18u2 = 0 + 3u + -3u -1 + -3u + 18u2 = 3u + -3u Combine like terms: 3u + -3u = 0 -1 + -3u + 18u2 = 0 Factor a trinomial. (-1 + -6u)(1 + -3u) = 0Subproblem 1
Set the factor '(-1 + -6u)' equal to zero and attempt to solve: Simplifying -1 + -6u = 0 Solving -1 + -6u = 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 + -6u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -6u = 0 + 1 -6u = 0 + 1 Combine like terms: 0 + 1 = 1 -6u = 1 Divide each side by '-6'. u = -0.1666666667 Simplifying u = -0.1666666667Subproblem 2
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 = 0.3333333333Solution
u = {-0.1666666667, 0.3333333333}
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