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Simplifying (4u + -5)(8 + -1u) = 0 Reorder the terms: (-5 + 4u)(8 + -1u) = 0 Multiply (-5 + 4u) * (8 + -1u) (-5(8 + -1u) + 4u * (8 + -1u)) = 0 ((8 * -5 + -1u * -5) + 4u * (8 + -1u)) = 0 ((-40 + 5u) + 4u * (8 + -1u)) = 0 (-40 + 5u + (8 * 4u + -1u * 4u)) = 0 (-40 + 5u + (32u + -4u2)) = 0 Combine like terms: 5u + 32u = 37u (-40 + 37u + -4u2) = 0 Solving -40 + 37u + -4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-8 + u)(5 + -4u) = 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 '(5 + -4u)' equal to zero and attempt to solve: Simplifying 5 + -4u = 0 Solving 5 + -4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4u = 0 + -5 -4u = 0 + -5 Combine like terms: 0 + -5 = -5 -4u = -5 Divide each side by '-4'. u = 1.25 Simplifying u = 1.25Solution
u = {8, 1.25}
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