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Simplifying 8u2 + 28u = 0 Reorder the terms: 28u + 8u2 = 0 Solving 28u + 8u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '4u'. 4u(7 + 2u) = 0 Ignore the factor 4.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 + 2u)' equal to zero and attempt to solve: Simplifying 7 + 2u = 0 Solving 7 + 2u = 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 + 2u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2u = 0 + -7 2u = 0 + -7 Combine like terms: 0 + -7 = -7 2u = -7 Divide each side by '2'. u = -3.5 Simplifying u = -3.5Solution
u = {0, -3.5}
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