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Simplifying 5u2 + -24u + 16 = 0 Reorder the terms: 16 + -24u + 5u2 = 0 Solving 16 + -24u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (4 + -5u)(4 + -1u) = 0Subproblem 1
Set the factor '(4 + -5u)' equal to zero and attempt to solve: Simplifying 4 + -5u = 0 Solving 4 + -5u = 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 + -5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5u = 0 + -4 -5u = 0 + -4 Combine like terms: 0 + -4 = -4 -5u = -4 Divide each side by '-5'. u = 0.8 Simplifying u = 0.8Subproblem 2
Set the factor '(4 + -1u)' equal to zero and attempt to solve: Simplifying 4 + -1u = 0 Solving 4 + -1u = 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 + -1u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1u = 0 + -4 -1u = 0 + -4 Combine like terms: 0 + -4 = -4 -1u = -4 Divide each side by '-1'. u = 4 Simplifying u = 4Solution
u = {0.8, 4}
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