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Simplifying 5u(3u + 11) = 0 Reorder the terms: 5u(11 + 3u) = 0 (11 * 5u + 3u * 5u) = 0 (55u + 15u2) = 0 Solving 55u + 15u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '5u'. 5u(11 + 3u) = 0 Ignore the factor 5.Subproblem 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 + 3u)' equal to zero and attempt to solve: Simplifying 11 + 3u = 0 Solving 11 + 3u = 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 + 3u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3u = 0 + -11 3u = 0 + -11 Combine like terms: 0 + -11 = -11 3u = -11 Divide each side by '3'. u = -3.666666667 Simplifying u = -3.666666667Solution
u = {0, -3.666666667}
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