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Simplifying (3u + 2)(7 + u) = 0 Reorder the terms: (2 + 3u)(7 + u) = 0 Multiply (2 + 3u) * (7 + u) (2(7 + u) + 3u * (7 + u)) = 0 ((7 * 2 + u * 2) + 3u * (7 + u)) = 0 ((14 + 2u) + 3u * (7 + u)) = 0 (14 + 2u + (7 * 3u + u * 3u)) = 0 (14 + 2u + (21u + 3u2)) = 0 Combine like terms: 2u + 21u = 23u (14 + 23u + 3u2) = 0 Solving 14 + 23u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (7 + u)(2 + 3u) = 0Subproblem 1
Set the factor '(7 + u)' equal to zero and attempt to solve: Simplifying 7 + u = 0 Solving 7 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + u = 0 + -7 u = 0 + -7 Combine like terms: 0 + -7 = -7 u = -7 Simplifying u = -7Subproblem 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 = {-7, -0.6666666667}
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