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Simplifying (5 + -1u)(5u + -8) = 0 Reorder the terms: (5 + -1u)(-8 + 5u) = 0 Multiply (5 + -1u) * (-8 + 5u) (5(-8 + 5u) + -1u * (-8 + 5u)) = 0 ((-8 * 5 + 5u * 5) + -1u * (-8 + 5u)) = 0 ((-40 + 25u) + -1u * (-8 + 5u)) = 0 (-40 + 25u + (-8 * -1u + 5u * -1u)) = 0 (-40 + 25u + (8u + -5u2)) = 0 Combine like terms: 25u + 8u = 33u (-40 + 33u + -5u2) = 0 Solving -40 + 33u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + u)(8 + -5u) = 0Subproblem 1
Set the factor '(-5 + u)' equal to zero and attempt to solve: Simplifying -5 + u = 0 Solving -5 + u = 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 + u = 0 + 5 Combine like terms: -5 + 5 = 0 0 + u = 0 + 5 u = 0 + 5 Combine like terms: 0 + 5 = 5 u = 5 Simplifying u = 5Subproblem 2
Set the factor '(8 + -5u)' equal to zero and attempt to solve: Simplifying 8 + -5u = 0 Solving 8 + -5u = 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 + -5u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5u = 0 + -8 -5u = 0 + -8 Combine like terms: 0 + -8 = -8 -5u = -8 Divide each side by '-5'. u = 1.6 Simplifying u = 1.6Solution
u = {5, 1.6}
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