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Simplifying u2 + 6u + 8 = 24 Reorder the terms: 8 + 6u + u2 = 24 Solving 8 + 6u + u2 = 24 Solving for variable 'u'. Reorder the terms: 8 + -24 + 6u + u2 = 24 + -24 Combine like terms: 8 + -24 = -16 -16 + 6u + u2 = 24 + -24 Combine like terms: 24 + -24 = 0 -16 + 6u + u2 = 0 Factor a trinomial. (-8 + -1u)(2 + -1u) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(2 + -1u)' equal to zero and attempt to solve: Simplifying 2 + -1u = 0 Solving 2 + -1u = 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 + -1u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1u = 0 + -2 -1u = 0 + -2 Combine like terms: 0 + -2 = -2 -1u = -2 Divide each side by '-1'. u = 2 Simplifying u = 2Solution
u = {-8, 2}
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