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Simplifying u2 + 49u = 0 Reorder the terms: 49u + u2 = 0 Solving 49u + u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(49 + 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 '(49 + u)' equal to zero and attempt to solve: Simplifying 49 + u = 0 Solving 49 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + u = 0 + -49 Combine like terms: 49 + -49 = 0 0 + u = 0 + -49 u = 0 + -49 Combine like terms: 0 + -49 = -49 u = -49 Simplifying u = -49Solution
u = {0, -49}
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