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Simplifying 6u(6u + 5) = 0 Reorder the terms: 6u(5 + 6u) = 0 (5 * 6u + 6u * 6u) = 0 (30u + 36u2) = 0 Solving 30u + 36u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '6u'. 6u(5 + 6u) = 0 Ignore the factor 6.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 '(5 + 6u)' equal to zero and attempt to solve: Simplifying 5 + 6u = 0 Solving 5 + 6u = 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 + 6u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6u = 0 + -5 6u = 0 + -5 Combine like terms: 0 + -5 = -5 6u = -5 Divide each side by '6'. u = -0.8333333333 Simplifying u = -0.8333333333Solution
u = {0, -0.8333333333}
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