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Simplifying 2u2 + 82u = 0 Reorder the terms: 82u + 2u2 = 0 Solving 82u + 2u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '2u'. 2u(41 + u) = 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 '(41 + u)' equal to zero and attempt to solve: Simplifying 41 + u = 0 Solving 41 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + -41 + u = 0 + -41 Combine like terms: 41 + -41 = 0 0 + u = 0 + -41 u = 0 + -41 Combine like terms: 0 + -41 = -41 u = -41 Simplifying u = -41Solution
u = {0, -41}
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