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Simplifying (4 + u)(5u + 8) = 0 Reorder the terms: (4 + u)(8 + 5u) = 0 Multiply (4 + u) * (8 + 5u) (4(8 + 5u) + u(8 + 5u)) = 0 ((8 * 4 + 5u * 4) + u(8 + 5u)) = 0 ((32 + 20u) + u(8 + 5u)) = 0 (32 + 20u + (8 * u + 5u * u)) = 0 (32 + 20u + (8u + 5u2)) = 0 Combine like terms: 20u + 8u = 28u (32 + 28u + 5u2) = 0 Solving 32 + 28u + 5u2 = 0 Solving for variable 'u'. Factor a trinomial. (4 + u)(8 + 5u) = 0Subproblem 1
Set the factor '(4 + u)' equal to zero and attempt to solve: Simplifying 4 + u = 0 Solving 4 + u = 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 + u = 0 + -4 Combine like terms: 4 + -4 = 0 0 + u = 0 + -4 u = 0 + -4 Combine like terms: 0 + -4 = -4 u = -4 Simplifying u = -4Subproblem 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 = {-4, -1.6}
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