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Simplifying 2u2 + -9u + -19 = u2 + -9 Reorder the terms: -19 + -9u + 2u2 = u2 + -9 Reorder the terms: -19 + -9u + 2u2 = -9 + u2 Solving -19 + -9u + 2u2 = -9 + u2 Solving for variable 'u'. Reorder the terms: -19 + 9 + -9u + 2u2 + -1u2 = -9 + u2 + 9 + -1u2 Combine like terms: -19 + 9 = -10 -10 + -9u + 2u2 + -1u2 = -9 + u2 + 9 + -1u2 Combine like terms: 2u2 + -1u2 = 1u2 -10 + -9u + 1u2 = -9 + u2 + 9 + -1u2 Reorder the terms: -10 + -9u + 1u2 = -9 + 9 + u2 + -1u2 Combine like terms: -9 + 9 = 0 -10 + -9u + 1u2 = 0 + u2 + -1u2 -10 + -9u + 1u2 = u2 + -1u2 Combine like terms: u2 + -1u2 = 0 -10 + -9u + 1u2 = 0 Factor a trinomial. (-1 + -1u)(10 + -1u) = 0Subproblem 1
Set the factor '(-1 + -1u)' equal to zero and attempt to solve: Simplifying -1 + -1u = 0 Solving -1 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1u = 0 + 1 -1u = 0 + 1 Combine like terms: 0 + 1 = 1 -1u = 1 Divide each side by '-1'. u = -1 Simplifying u = -1Subproblem 2
Set the factor '(10 + -1u)' equal to zero and attempt to solve: Simplifying 10 + -1u = 0 Solving 10 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1u = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1u = 0 + -10 -1u = 0 + -10 Combine like terms: 0 + -10 = -10 -1u = -10 Divide each side by '-1'. u = 10 Simplifying u = 10Solution
u = {-1, 10}
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