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Simplifying u2 + -10u + -24 = 0 Reorder the terms: -24 + -10u + u2 = 0 Solving -24 + -10u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (-2 + -1u)(12 + -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 '(12 + -1u)' equal to zero and attempt to solve: Simplifying 12 + -1u = 0 Solving 12 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1u = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1u = 0 + -12 -1u = 0 + -12 Combine like terms: 0 + -12 = -12 -1u = -12 Divide each side by '-1'. u = 12 Simplifying u = 12Solution
u = {-2, 12}
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