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Simplifying (9u + 6)(3u + 5) = 0 Reorder the terms: (6 + 9u)(3u + 5) = 0 Reorder the terms: (6 + 9u)(5 + 3u) = 0 Multiply (6 + 9u) * (5 + 3u) (6(5 + 3u) + 9u * (5 + 3u)) = 0 ((5 * 6 + 3u * 6) + 9u * (5 + 3u)) = 0 ((30 + 18u) + 9u * (5 + 3u)) = 0 (30 + 18u + (5 * 9u + 3u * 9u)) = 0 (30 + 18u + (45u + 27u2)) = 0 Combine like terms: 18u + 45u = 63u (30 + 63u + 27u2) = 0 Solving 30 + 63u + 27u2 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3'. 3(10 + 21u + 9u2) = 0 Factor a trinomial. 3((5 + 3u)(2 + 3u)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(5 + 3u)' equal to zero and attempt to solve: Simplifying 5 + 3u = 0 Solving 5 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3u = 0 + -5 3u = 0 + -5 Combine like terms: 0 + -5 = -5 3u = -5 Divide each side by '3'. u = -1.666666667 Simplifying u = -1.666666667Subproblem 2
Set the factor '(2 + 3u)' equal to zero and attempt to solve: Simplifying 2 + 3u = 0 Solving 2 + 3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3u = 0 + -2 3u = 0 + -2 Combine like terms: 0 + -2 = -2 3u = -2 Divide each side by '3'. u = -0.6666666667 Simplifying u = -0.6666666667Solution
u = {-1.666666667, -0.6666666667}
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