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Simplifying u2 + 5u + 7 + -3u2 = 0 Reorder the terms: 7 + 5u + u2 + -3u2 = 0 Combine like terms: u2 + -3u2 = -2u2 7 + 5u + -2u2 = 0 Solving 7 + 5u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + -2u)(1 + u) = 0Subproblem 1
Set the factor '(7 + -2u)' equal to zero and attempt to solve: Simplifying 7 + -2u = 0 Solving 7 + -2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -2u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -2u = 0 + -7 -2u = 0 + -7 Combine like terms: 0 + -7 = -7 -2u = -7 Divide each side by '-2'. u = 3.5 Simplifying u = 3.5Subproblem 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 = {3.5, -1}
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