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Simplifying 33u2 + -49u + 18 = 0 Reorder the terms: 18 + -49u + 33u2 = 0 Solving 18 + -49u + 33u2 = 0 Solving for variable 'u'. Factor a trinomial. (2 + -3u)(9 + -11u) = 0Subproblem 1
Set the factor '(2 + -3u)' equal to zero and attempt to solve: Simplifying 2 + -3u = 0 Solving 2 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3u = 0 + -2 -3u = 0 + -2 Combine like terms: 0 + -2 = -2 -3u = -2 Divide each side by '-3'. u = 0.6666666667 Simplifying u = 0.6666666667Subproblem 2
Set the factor '(9 + -11u)' equal to zero and attempt to solve: Simplifying 9 + -11u = 0 Solving 9 + -11u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -11u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -11u = 0 + -9 -11u = 0 + -9 Combine like terms: 0 + -9 = -9 -11u = -9 Divide each side by '-11'. u = 0.8181818182 Simplifying u = 0.8181818182Solution
u = {0.6666666667, 0.8181818182}
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