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Simplifying -2u2 = -13u + -24 Reorder the terms: -2u2 = -24 + -13u Solving -2u2 = -24 + -13u Solving for variable 'u'. Reorder the terms: 24 + 13u + -2u2 = -24 + -13u + 24 + 13u Reorder the terms: 24 + 13u + -2u2 = -24 + 24 + -13u + 13u Combine like terms: -24 + 24 = 0 24 + 13u + -2u2 = 0 + -13u + 13u 24 + 13u + -2u2 = -13u + 13u Combine like terms: -13u + 13u = 0 24 + 13u + -2u2 = 0 Factor a trinomial. (8 + -1u)(3 + 2u) = 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 '(3 + 2u)' equal to zero and attempt to solve: Simplifying 3 + 2u = 0 Solving 3 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2u = 0 + -3 2u = 0 + -3 Combine like terms: 0 + -3 = -3 2u = -3 Divide each side by '2'. u = -1.5 Simplifying u = -1.5Solution
u = {8, -1.5}
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