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Simplifying 27u2 + -15u = 0 Reorder the terms: -15u + 27u2 = 0 Solving -15u + 27u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3u'. 3u(-5 + 9u) = 0 Ignore the factor 3.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 + 9u)' equal to zero and attempt to solve: Simplifying -5 + 9u = 0 Solving -5 + 9u = 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 + 9u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + 9u = 0 + 5 9u = 0 + 5 Combine like terms: 0 + 5 = 5 9u = 5 Divide each side by '9'. u = 0.5555555556 Simplifying u = 0.5555555556Solution
u = {0, 0.5555555556}
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