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Simplifying (3u + -8)(1 + u) = 0 Reorder the terms: (-8 + 3u)(1 + u) = 0 Multiply (-8 + 3u) * (1 + u) (-8(1 + u) + 3u * (1 + u)) = 0 ((1 * -8 + u * -8) + 3u * (1 + u)) = 0 ((-8 + -8u) + 3u * (1 + u)) = 0 (-8 + -8u + (1 * 3u + u * 3u)) = 0 (-8 + -8u + (3u + 3u2)) = 0 Combine like terms: -8u + 3u = -5u (-8 + -5u + 3u2) = 0 Solving -8 + -5u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-1 + -1u)(8 + -3u) = 0Subproblem 1
Set the factor '(-1 + -1u)' equal to zero and attempt to solve: Simplifying -1 + -1u = 0 Solving -1 + -1u = 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 + -1u = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1u = 0 + 1 -1u = 0 + 1 Combine like terms: 0 + 1 = 1 -1u = 1 Divide each side by '-1'. u = -1 Simplifying u = -1Subproblem 2
Set the factor '(8 + -3u)' equal to zero and attempt to solve: Simplifying 8 + -3u = 0 Solving 8 + -3u = 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 + -3u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -3u = 0 + -8 -3u = 0 + -8 Combine like terms: 0 + -8 = -8 -3u = -8 Divide each side by '-3'. u = 2.666666667 Simplifying u = 2.666666667Solution
u = {-1, 2.666666667}
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