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