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Simplifying 6u(5u + 2) + -3u(3u + -3) = 0 Reorder the terms: 6u(2 + 5u) + -3u(3u + -3) = 0 (2 * 6u + 5u * 6u) + -3u(3u + -3) = 0 (12u + 30u2) + -3u(3u + -3) = 0 Reorder the terms: 12u + 30u2 + -3u(-3 + 3u) = 0 12u + 30u2 + (-3 * -3u + 3u * -3u) = 0 12u + 30u2 + (9u + -9u2) = 0 Reorder the terms: 12u + 9u + 30u2 + -9u2 = 0 Combine like terms: 12u + 9u = 21u 21u + 30u2 + -9u2 = 0 Combine like terms: 30u2 + -9u2 = 21u2 21u + 21u2 = 0 Solving 21u + 21u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '21u'. 21u(1 + u) = 0 Ignore the factor 21.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 '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Solution
u = {0, -1}
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