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Simplifying 3u2 + -8u + -24u + 64 = 0 Reorder the terms: 64 + -8u + -24u + 3u2 = 0 Combine like terms: -8u + -24u = -32u 64 + -32u + 3u2 = 0 Solving 64 + -32u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + -3u)(8 + -1u) = 0Subproblem 1
Set the factor '(8 + -3u)' equal to zero and attempt to solve: Simplifying 8 + -3u = 0 Solving 8 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -3u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3u = 0 + -8 -3u = 0 + -8 Combine like terms: 0 + -8 = -8 -3u = -8 Divide each side by '-3'. u = 2.666666667 Simplifying u = 2.666666667Subproblem 2
Set the factor '(8 + -1u)' equal to zero and attempt to solve: Simplifying 8 + -1u = 0 Solving 8 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1u = 0 + -8 -1u = 0 + -8 Combine like terms: 0 + -8 = -8 -1u = -8 Divide each side by '-1'. u = 8 Simplifying u = 8Solution
u = {2.666666667, 8}
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