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Simplifying (3u + -1)(7 + u) = 0 Reorder the terms: (-1 + 3u)(7 + u) = 0 Multiply (-1 + 3u) * (7 + u) (-1(7 + u) + 3u * (7 + u)) = 0 ((7 * -1 + u * -1) + 3u * (7 + u)) = 0 ((-7 + -1u) + 3u * (7 + u)) = 0 (-7 + -1u + (7 * 3u + u * 3u)) = 0 (-7 + -1u + (21u + 3u2)) = 0 Combine like terms: -1u + 21u = 20u (-7 + 20u + 3u2) = 0 Solving -7 + 20u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-7 + -1u)(1 + -3u) = 0Subproblem 1
Set the factor '(-7 + -1u)' equal to zero and attempt to solve: Simplifying -7 + -1u = 0 Solving -7 + -1u = 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 + -1u = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1u = 0 + 7 -1u = 0 + 7 Combine like terms: 0 + 7 = 7 -1u = 7 Divide each side by '-1'. u = -7 Simplifying u = -7Subproblem 2
Set the factor '(1 + -3u)' equal to zero and attempt to solve: Simplifying 1 + -3u = 0 Solving 1 + -3u = 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 + -3u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3u = 0 + -1 -3u = 0 + -1 Combine like terms: 0 + -1 = -1 -3u = -1 Divide each side by '-3'. u = 0.3333333333 Simplifying u = 0.3333333333Solution
u = {-7, 0.3333333333}
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