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Simplifying 4u(5u + 8) + u(7u + 4) = 0 Reorder the terms: 4u(8 + 5u) + u(7u + 4) = 0 (8 * 4u + 5u * 4u) + u(7u + 4) = 0 (32u + 20u2) + u(7u + 4) = 0 Reorder the terms: 32u + 20u2 + u(4 + 7u) = 0 32u + 20u2 + (4 * u + 7u * u) = 0 32u + 20u2 + (4u + 7u2) = 0 Reorder the terms: 32u + 4u + 20u2 + 7u2 = 0 Combine like terms: 32u + 4u = 36u 36u + 20u2 + 7u2 = 0 Combine like terms: 20u2 + 7u2 = 27u2 36u + 27u2 = 0 Solving 36u + 27u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '9u'. 9u(4 + 3u) = 0 Ignore the factor 9.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 '(4 + 3u)' equal to zero and attempt to solve: Simplifying 4 + 3u = 0 Solving 4 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3u = 0 + -4 3u = 0 + -4 Combine like terms: 0 + -4 = -4 3u = -4 Divide each side by '3'. u = -1.333333333 Simplifying u = -1.333333333Solution
u = {0, -1.333333333}
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