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Simplifying (5u + -8)(3 + u) = 0 Reorder the terms: (-8 + 5u)(3 + u) = 0 Multiply (-8 + 5u) * (3 + u) (-8(3 + u) + 5u * (3 + u)) = 0 ((3 * -8 + u * -8) + 5u * (3 + u)) = 0 ((-24 + -8u) + 5u * (3 + u)) = 0 (-24 + -8u + (3 * 5u + u * 5u)) = 0 (-24 + -8u + (15u + 5u2)) = 0 Combine like terms: -8u + 15u = 7u (-24 + 7u + 5u2) = 0 Solving -24 + 7u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (-3 + -1u)(8 + -5u) = 0Subproblem 1
Set the factor '(-3 + -1u)' equal to zero and attempt to solve: Simplifying -3 + -1u = 0 Solving -3 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -1u = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1u = 0 + 3 -1u = 0 + 3 Combine like terms: 0 + 3 = 3 -1u = 3 Divide each side by '-1'. u = -3 Simplifying u = -3Subproblem 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 = {-3, 1.6}
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