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Simplifying (3u + 2)(8 + u) = 0 Reorder the terms: (2 + 3u)(8 + u) = 0 Multiply (2 + 3u) * (8 + u) (2(8 + u) + 3u * (8 + u)) = 0 ((8 * 2 + u * 2) + 3u * (8 + u)) = 0 ((16 + 2u) + 3u * (8 + u)) = 0 (16 + 2u + (8 * 3u + u * 3u)) = 0 (16 + 2u + (24u + 3u2)) = 0 Combine like terms: 2u + 24u = 26u (16 + 26u + 3u2) = 0 Solving 16 + 26u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + u)(2 + 3u) = 0Subproblem 1
Set the factor '(8 + u)' equal to zero and attempt to solve: Simplifying 8 + u = 0 Solving 8 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + u = 0 + -8 u = 0 + -8 Combine like terms: 0 + -8 = -8 u = -8 Simplifying u = -8Subproblem 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 = {-8, -0.6666666667}
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