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Simplifying 5u2 + 24u + -5 = 0 Reorder the terms: -5 + 24u + 5u2 = 0 Solving -5 + 24u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + -1u)(1 + -5u) = 0Subproblem 1
Set the factor '(-5 + -1u)' equal to zero and attempt to solve: Simplifying -5 + -1u = 0 Solving -5 + -1u = 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 + -1u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1u = 0 + 5 -1u = 0 + 5 Combine like terms: 0 + 5 = 5 -1u = 5 Divide each side by '-1'. u = -5 Simplifying u = -5Subproblem 2
Set the factor '(1 + -5u)' equal to zero and attempt to solve: Simplifying 1 + -5u = 0 Solving 1 + -5u = 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 + -5u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5u = 0 + -1 -5u = 0 + -1 Combine like terms: 0 + -1 = -1 -5u = -1 Divide each side by '-5'. u = 0.2 Simplifying u = 0.2Solution
u = {-5, 0.2}
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