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Simplifying 5u2 + 4 = -9u Reorder the terms: 4 + 5u2 = -9u Solving 4 + 5u2 = -9u Solving for variable 'u'. Reorder the terms: 4 + 9u + 5u2 = -9u + 9u Combine like terms: -9u + 9u = 0 4 + 9u + 5u2 = 0 Factor a trinomial. (1 + u)(4 + 5u) = 0Subproblem 1
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 = -1Subproblem 2
Set the factor '(4 + 5u)' equal to zero and attempt to solve: Simplifying 4 + 5u = 0 Solving 4 + 5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5u = 0 + -4 5u = 0 + -4 Combine like terms: 0 + -4 = -4 5u = -4 Divide each side by '5'. u = -0.8 Simplifying u = -0.8Solution
u = {-1, -0.8}
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