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Simplifying (3u + 7)(5 + -1u) = 0 Reorder the terms: (7 + 3u)(5 + -1u) = 0 Multiply (7 + 3u) * (5 + -1u) (7(5 + -1u) + 3u * (5 + -1u)) = 0 ((5 * 7 + -1u * 7) + 3u * (5 + -1u)) = 0 ((35 + -7u) + 3u * (5 + -1u)) = 0 (35 + -7u + (5 * 3u + -1u * 3u)) = 0 (35 + -7u + (15u + -3u2)) = 0 Combine like terms: -7u + 15u = 8u (35 + 8u + -3u2) = 0 Solving 35 + 8u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + -1u)(7 + 3u) = 0Subproblem 1
Set the factor '(5 + -1u)' equal to zero and attempt to solve: Simplifying 5 + -1u = 0 Solving 5 + -1u = 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 + -1u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1u = 0 + -5 -1u = 0 + -5 Combine like terms: 0 + -5 = -5 -1u = -5 Divide each side by '-1'. u = 5 Simplifying u = 5Subproblem 2
Set the factor '(7 + 3u)' equal to zero and attempt to solve: Simplifying 7 + 3u = 0 Solving 7 + 3u = 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 + 3u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3u = 0 + -7 3u = 0 + -7 Combine like terms: 0 + -7 = -7 3u = -7 Divide each side by '3'. u = -2.333333333 Simplifying u = -2.333333333Solution
u = {5, -2.333333333}
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