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Simplifying -7u + -5 = 2u2 Reorder the terms: -5 + -7u = 2u2 Solving -5 + -7u = 2u2 Solving for variable 'u'. Combine like terms: 2u2 + -2u2 = 0 -5 + -7u + -2u2 = 0 Factor out the Greatest Common Factor (GCF), '-1'. -1(5 + 7u + 2u2) = 0 Factor a trinomial. -1((5 + 2u)(1 + u)) = 0 Ignore the factor -1.Subproblem 1
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 = -2.5Subproblem 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 = {-2.5, -1}
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