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Simplifying (5 + u)(5u + 8) = 0 Reorder the terms: (5 + u)(8 + 5u) = 0 Multiply (5 + u) * (8 + 5u) (5(8 + 5u) + u(8 + 5u)) = 0 ((8 * 5 + 5u * 5) + u(8 + 5u)) = 0 ((40 + 25u) + u(8 + 5u)) = 0 (40 + 25u + (8 * u + 5u * u)) = 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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