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Simplifying (3u + -4)(8 + -1u) = 0 Reorder the terms: (-4 + 3u)(8 + -1u) = 0 Multiply (-4 + 3u) * (8 + -1u) (-4(8 + -1u) + 3u * (8 + -1u)) = 0 ((8 * -4 + -1u * -4) + 3u * (8 + -1u)) = 0 ((-32 + 4u) + 3u * (8 + -1u)) = 0 (-32 + 4u + (8 * 3u + -1u * 3u)) = 0 (-32 + 4u + (24u + -3u2)) = 0 Combine like terms: 4u + 24u = 28u (-32 + 28u + -3u2) = 0 Solving -32 + 28u + -3u2 = 0 Solving for variable 'u'. Factor a trinomial. (-8 + u)(4 + -3u) = 0Subproblem 1
Set the factor '(-8 + u)' equal to zero and attempt to solve: Simplifying -8 + u = 0 Solving -8 + u = 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 + u = 0 + 8 Combine like terms: -8 + 8 = 0 0 + u = 0 + 8 u = 0 + 8 Combine like terms: 0 + 8 = 8 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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