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Simplifying 15u2 + -29u + 12 = 0 Reorder the terms: 12 + -29u + 15u2 = 0 Solving 12 + -29u + 15u2 = 0 Solving for variable 'u'. Factor a trinomial. (3 + -5u)(4 + -3u) = 0Subproblem 1
Set the factor '(3 + -5u)' equal to zero and attempt to solve: Simplifying 3 + -5u = 0 Solving 3 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5u = 0 + -3 -5u = 0 + -3 Combine like terms: 0 + -3 = -3 -5u = -3 Divide each side by '-5'. u = 0.6 Simplifying u = 0.6Subproblem 2
Set the factor '(4 + -3u)' equal to zero and attempt to solve: Simplifying 4 + -3u = 0 Solving 4 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3u = 0 + -4 -3u = 0 + -4 Combine like terms: 0 + -4 = -4 -3u = -4 Divide each side by '-3'. u = 1.333333333 Simplifying u = 1.333333333Solution
u = {0.6, 1.333333333}
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