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Simplifying 8u(6u + 5) + u(3u + 4) = 0 Reorder the terms: 8u(5 + 6u) + u(3u + 4) = 0 (5 * 8u + 6u * 8u) + u(3u + 4) = 0 (40u + 48u2) + u(3u + 4) = 0 Reorder the terms: 40u + 48u2 + u(4 + 3u) = 0 40u + 48u2 + (4 * u + 3u * u) = 0 40u + 48u2 + (4u + 3u2) = 0 Reorder the terms: 40u + 4u + 48u2 + 3u2 = 0 Combine like terms: 40u + 4u = 44u 44u + 48u2 + 3u2 = 0 Combine like terms: 48u2 + 3u2 = 51u2 44u + 51u2 = 0 Solving 44u + 51u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(44 + 51u) = 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 '(44 + 51u)' equal to zero and attempt to solve: Simplifying 44 + 51u = 0 Solving 44 + 51u = 0 Move all terms containing u to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 51u = 0 + -44 Combine like terms: 44 + -44 = 0 0 + 51u = 0 + -44 51u = 0 + -44 Combine like terms: 0 + -44 = -44 51u = -44 Divide each side by '51'. u = -0.862745098 Simplifying u = -0.862745098Solution
u = {0, -0.862745098}
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