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Simplifying 3u2 = 8u + -5 Reorder the terms: 3u2 = -5 + 8u Solving 3u2 = -5 + 8u Solving for variable 'u'. Reorder the terms: 5 + -8u + 3u2 = -5 + 8u + 5 + -8u Reorder the terms: 5 + -8u + 3u2 = -5 + 5 + 8u + -8u Combine like terms: -5 + 5 = 0 5 + -8u + 3u2 = 0 + 8u + -8u 5 + -8u + 3u2 = 8u + -8u Combine like terms: 8u + -8u = 0 5 + -8u + 3u2 = 0 Factor a trinomial. (1 + -1u)(5 + -3u) = 0Subproblem 1
Set the factor '(1 + -1u)' equal to zero and attempt to solve: Simplifying 1 + -1u = 0 Solving 1 + -1u = 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 + -1u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 0 + -1 -1u = 0 + -1 Combine like terms: 0 + -1 = -1 -1u = -1 Divide each side by '-1'. u = 1 Simplifying u = 1Subproblem 2
Set the factor '(5 + -3u)' equal to zero and attempt to solve: Simplifying 5 + -3u = 0 Solving 5 + -3u = 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 + -3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3u = 0 + -5 -3u = 0 + -5 Combine like terms: 0 + -5 = -5 -3u = -5 Divide each side by '-3'. u = 1.666666667 Simplifying u = 1.666666667Solution
u = {1, 1.666666667}
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