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Simplifying (4u + -5)(4 + u) = 0 Reorder the terms: (-5 + 4u)(4 + u) = 0 Multiply (-5 + 4u) * (4 + u) (-5(4 + u) + 4u * (4 + u)) = 0 ((4 * -5 + u * -5) + 4u * (4 + u)) = 0 ((-20 + -5u) + 4u * (4 + u)) = 0 (-20 + -5u + (4 * 4u + u * 4u)) = 0 (-20 + -5u + (16u + 4u2)) = 0 Combine like terms: -5u + 16u = 11u (-20 + 11u + 4u2) = 0 Solving -20 + 11u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + -1u)(5 + -4u) = 0Subproblem 1
Set the factor '(-4 + -1u)' equal to zero and attempt to solve: Simplifying -4 + -1u = 0 Solving -4 + -1u = 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 + -1u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1u = 0 + 4 -1u = 0 + 4 Combine like terms: 0 + 4 = 4 -1u = 4 Divide each side by '-1'. u = -4 Simplifying u = -4Subproblem 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 = {-4, 1.25}
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