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Simplifying 3u2 = -21u Solving 3u2 = -21u Solving for variable 'u'. Reorder the terms: 21u + 3u2 = -21u + 21u Combine like terms: -21u + 21u = 0 21u + 3u2 = 0 Factor out the Greatest Common Factor (GCF), '3u'. 3u(7 + u) = 0 Ignore the factor 3.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 '(7 + u)' equal to zero and attempt to solve: Simplifying 7 + u = 0 Solving 7 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + u = 0 + -7 u = 0 + -7 Combine like terms: 0 + -7 = -7 u = -7 Simplifying u = -7Solution
u = {0, -7}
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