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Simplifying 4u3 + 44u2 + 121u = 0 Reorder the terms: 121u + 44u2 + 4u3 = 0 Solving 121u + 44u2 + 4u3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(121 + 44u + 4u2) = 0 Factor a trinomial. u((11 + 2u)(11 + 2u)) = 0Subproblem 1
Set the factor 'u' equal to zero and attempt to solve: Simplifying u = 0 Solving u = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u = 0Subproblem 2
Set the factor '(11 + 2u)' equal to zero and attempt to solve: Simplifying 11 + 2u = 0 Solving 11 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2u = 0 + -11 2u = 0 + -11 Combine like terms: 0 + -11 = -11 2u = -11 Divide each side by '2'. u = -5.5 Simplifying u = -5.5Subproblem 3
Set the factor '(11 + 2u)' equal to zero and attempt to solve: Simplifying 11 + 2u = 0 Solving 11 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 2u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 2u = 0 + -11 2u = 0 + -11 Combine like terms: 0 + -11 = -11 2u = -11 Divide each side by '2'. u = -5.5 Simplifying u = -5.5Solution
u = {0, -5.5, -5.5}
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