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Simplifying (5u + -4)(5 + -1u) = 0 Reorder the terms: (-4 + 5u)(5 + -1u) = 0 Multiply (-4 + 5u) * (5 + -1u) (-4(5 + -1u) + 5u * (5 + -1u)) = 0 ((5 * -4 + -1u * -4) + 5u * (5 + -1u)) = 0 ((-20 + 4u) + 5u * (5 + -1u)) = 0 (-20 + 4u + (5 * 5u + -1u * 5u)) = 0 (-20 + 4u + (25u + -5u2)) = 0 Combine like terms: 4u + 25u = 29u (-20 + 29u + -5u2) = 0 Solving -20 + 29u + -5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-5 + u)(4 + -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 '(4 + -5u)' equal to zero and attempt to solve: Simplifying 4 + -5u = 0 Solving 4 + -5u = 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 + -5u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -5u = 0 + -4 -5u = 0 + -4 Combine like terms: 0 + -4 = -4 -5u = -4 Divide each side by '-5'. u = 0.8 Simplifying u = 0.8Solution
u = {5, 0.8}
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