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Simplifying (3 + -1u)(3u + -8) = 0 Reorder the terms: (3 + -1u)(-8 + 3u) = 0 Multiply (3 + -1u) * (-8 + 3u) (3(-8 + 3u) + -1u * (-8 + 3u)) = 0 ((-8 * 3 + 3u * 3) + -1u * (-8 + 3u)) = 0 ((-24 + 9u) + -1u * (-8 + 3u)) = 0 (-24 + 9u + (-8 * -1u + 3u * -1u)) = 0 (-24 + 9u + (8u + -3u2)) = 0 Combine like terms: 9u + 8u = 17u (-24 + 17u + -3u2) = 0 Solving -24 + 17u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-3 + u)(8 + -3u) = 0Subproblem 1
Set the factor '(-3 + u)' equal to zero and attempt to solve: Simplifying -3 + u = 0 Solving -3 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + u = 0 + 3 u = 0 + 3 Combine like terms: 0 + 3 = 3 u = 3 Simplifying u = 3Subproblem 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 = {3, 2.666666667}
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