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Simplifying u2 + 9u = 2u2 + 20 Reorder the terms: 9u + u2 = 2u2 + 20 Reorder the terms: 9u + u2 = 20 + 2u2 Solving 9u + u2 = 20 + 2u2 Solving for variable 'u'. Reorder the terms: -20 + 9u + u2 + -2u2 = 20 + 2u2 + -20 + -2u2 Combine like terms: u2 + -2u2 = -1u2 -20 + 9u + -1u2 = 20 + 2u2 + -20 + -2u2 Reorder the terms: -20 + 9u + -1u2 = 20 + -20 + 2u2 + -2u2 Combine like terms: 20 + -20 = 0 -20 + 9u + -1u2 = 0 + 2u2 + -2u2 -20 + 9u + -1u2 = 2u2 + -2u2 Combine like terms: 2u2 + -2u2 = 0 -20 + 9u + -1u2 = 0 Factor a trinomial. (-5 + u)(4 + -1u) = 0Subproblem 1
Set the factor '(-5 + u)' equal to zero and attempt to solve: Simplifying -5 + u = 0 Solving -5 + u = 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 + u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + u = 0 + 5 u = 0 + 5 Combine like terms: 0 + 5 = 5 u = 5 Simplifying u = 5Subproblem 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 = {5, 4}
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