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Simplifying 2u2 + 22u + 60 + -1u2 + -12u + -35 = 0 Reorder the terms: 60 + -35 + 22u + -12u + 2u2 + -1u2 = 0 Combine like terms: 60 + -35 = 25 25 + 22u + -12u + 2u2 + -1u2 = 0 Combine like terms: 22u + -12u = 10u 25 + 10u + 2u2 + -1u2 = 0 Combine like terms: 2u2 + -1u2 = 1u2 25 + 10u + 1u2 = 0 Solving 25 + 10u + 1u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + u)(5 + u) = 0Subproblem 1
Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 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 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 u = -5 Simplifying u = -5Subproblem 2
Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 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 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 u = -5 Simplifying u = -5Solution
u = {-5, -5}
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