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Simplifying u2 = 16u + 36 Reorder the terms: u2 = 36 + 16u Solving u2 = 36 + 16u Solving for variable 'u'. Reorder the terms: -36 + -16u + u2 = 36 + 16u + -36 + -16u Reorder the terms: -36 + -16u + u2 = 36 + -36 + 16u + -16u Combine like terms: 36 + -36 = 0 -36 + -16u + u2 = 0 + 16u + -16u -36 + -16u + u2 = 16u + -16u Combine like terms: 16u + -16u = 0 -36 + -16u + u2 = 0 Factor a trinomial. (-2 + -1u)(18 + -1u) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(18 + -1u)' equal to zero and attempt to solve: Simplifying 18 + -1u = 0 Solving 18 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1u = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1u = 0 + -18 -1u = 0 + -18 Combine like terms: 0 + -18 = -18 -1u = -18 Divide each side by '-1'. u = 18 Simplifying u = 18Solution
u = {-2, 18}
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