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Simplifying (8 + u)(3u + -4) = 0 Reorder the terms: (8 + u)(-4 + 3u) = 0 Multiply (8 + u) * (-4 + 3u) (8(-4 + 3u) + u(-4 + 3u)) = 0 ((-4 * 8 + 3u * 8) + u(-4 + 3u)) = 0 ((-32 + 24u) + u(-4 + 3u)) = 0 (-32 + 24u + (-4 * u + 3u * u)) = 0 (-32 + 24u + (-4u + 3u2)) = 0 Combine like terms: 24u + -4u = 20u (-32 + 20u + 3u2) = 0 Solving -32 + 20u + 3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-8 + -1u)(4 + -3u) = 0Subproblem 1
Set the factor '(-8 + -1u)' equal to zero and attempt to solve: Simplifying -8 + -1u = 0 Solving -8 + -1u = 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 + -1u = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1u = 0 + 8 -1u = 0 + 8 Combine like terms: 0 + 8 = 8 -1u = 8 Divide each side by '-1'. u = -8 Simplifying u = -8Subproblem 2
Set the factor '(4 + -3u)' equal to zero and attempt to solve: Simplifying 4 + -3u = 0 Solving 4 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -3u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3u = 0 + -4 -3u = 0 + -4 Combine like terms: 0 + -4 = -4 -3u = -4 Divide each side by '-3'. u = 1.333333333 Simplifying u = 1.333333333Solution
u = {-8, 1.333333333}
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