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Simplifying 5u2 + 26u + 5 = 0 Reorder the terms: 5 + 26u + 5u2 = 0 Solving 5 + 26u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + u)(1 + 5u) = 0Subproblem 1
Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 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 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 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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