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Simplifying (5u + -1)(8 + -1u) = 0 Reorder the terms: (-1 + 5u)(8 + -1u) = 0 Multiply (-1 + 5u) * (8 + -1u) (-1(8 + -1u) + 5u * (8 + -1u)) = 0 ((8 * -1 + -1u * -1) + 5u * (8 + -1u)) = 0 ((-8 + 1u) + 5u * (8 + -1u)) = 0 (-8 + 1u + (8 * 5u + -1u * 5u)) = 0 (-8 + 1u + (40u + -5u2)) = 0 Combine like terms: 1u + 40u = 41u (-8 + 41u + -5u2) = 0 Solving -8 + 41u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-8 + u)(1 + -5u) = 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 '(1 + -5u)' equal to zero and attempt to solve: Simplifying 1 + -5u = 0 Solving 1 + -5u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5u = 0 + -1 -5u = 0 + -1 Combine like terms: 0 + -1 = -1 -5u = -1 Divide each side by '-5'. u = 0.2 Simplifying u = 0.2Solution
u = {8, 0.2}
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