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