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Simplifying 2u2 = u + 10 Reorder the terms: 2u2 = 10 + u Solving 2u2 = 10 + u Solving for variable 'u'. Reorder the terms: -10 + -1u + 2u2 = 10 + u + -10 + -1u Reorder the terms: -10 + -1u + 2u2 = 10 + -10 + u + -1u Combine like terms: 10 + -10 = 0 -10 + -1u + 2u2 = 0 + u + -1u -10 + -1u + 2u2 = u + -1u Combine like terms: u + -1u = 0 -10 + -1u + 2u2 = 0 Factor a trinomial. (-2 + -1u)(5 + -2u) = 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 '(5 + -2u)' equal to zero and attempt to solve: Simplifying 5 + -2u = 0 Solving 5 + -2u = 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 + -2u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2u = 0 + -5 -2u = 0 + -5 Combine like terms: 0 + -5 = -5 -2u = -5 Divide each side by '-2'. u = 2.5 Simplifying u = 2.5Solution
u = {-2, 2.5}
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