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Simplifying 2u(3u + 4) + 3u(2u + 1) = 0 Reorder the terms: 2u(4 + 3u) + 3u(2u + 1) = 0 (4 * 2u + 3u * 2u) + 3u(2u + 1) = 0 (8u + 6u2) + 3u(2u + 1) = 0 Reorder the terms: 8u + 6u2 + 3u(1 + 2u) = 0 8u + 6u2 + (1 * 3u + 2u * 3u) = 0 8u + 6u2 + (3u + 6u2) = 0 Reorder the terms: 8u + 3u + 6u2 + 6u2 = 0 Combine like terms: 8u + 3u = 11u 11u + 6u2 + 6u2 = 0 Combine like terms: 6u2 + 6u2 = 12u2 11u + 12u2 = 0 Solving 11u + 12u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), 'u'. u(11 + 12u) = 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 '(11 + 12u)' equal to zero and attempt to solve: Simplifying 11 + 12u = 0 Solving 11 + 12u = 0 Move all terms containing u to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 12u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 12u = 0 + -11 12u = 0 + -11 Combine like terms: 0 + -11 = -11 12u = -11 Divide each side by '12'. u = -0.9166666667 Simplifying u = -0.9166666667Solution
u = {0, -0.9166666667}
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