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Simplifying u2 + 30u = 0 Reorder the terms: 30u + u2 = 0 Solving 30u + u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(30 + u) = 0Subproblem 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 '(30 + u)' equal to zero and attempt to solve: Simplifying 30 + u = 0 Solving 30 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + -30 + u = 0 + -30 Combine like terms: 30 + -30 = 0 0 + u = 0 + -30 u = 0 + -30 Combine like terms: 0 + -30 = -30 u = -30 Simplifying u = -30Solution
u = {0, -30}
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