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Simplifying 6u(u) + -24u = 0 Multiply u * u 6u2 + -24u = 0 Reorder the terms: -24u + 6u2 = 0 Solving -24u + 6u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '6u'. 6u(-4 + u) = 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 '(-4 + u)' equal to zero and attempt to solve: Simplifying -4 + u = 0 Solving -4 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + u = 0 + 4 u = 0 + 4 Combine like terms: 0 + 4 = 4 u = 4 Simplifying u = 4Solution
u = {0, 4}
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