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Simplifying 24u2 + -14u = 0 Reorder the terms: -14u + 24u2 = 0 Solving -14u + 24u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u'. 2u(-7 + 12u) = 0 Ignore the factor 2.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 '(-7 + 12u)' equal to zero and attempt to solve: Simplifying -7 + 12u = 0 Solving -7 + 12u = 0 Move all terms containing u to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 12u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 12u = 0 + 7 12u = 0 + 7 Combine like terms: 0 + 7 = 7 12u = 7 Divide each side by '12'. u = 0.5833333333 Simplifying u = 0.5833333333Solution
u = {0, 0.5833333333}
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