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Simplifying (4u + 9)(8 + u) = 0 Reorder the terms: (9 + 4u)(8 + u) = 0 Multiply (9 + 4u) * (8 + u) (9(8 + u) + 4u * (8 + u)) = 0 ((8 * 9 + u * 9) + 4u * (8 + u)) = 0 ((72 + 9u) + 4u * (8 + u)) = 0 (72 + 9u + (8 * 4u + u * 4u)) = 0 (72 + 9u + (32u + 4u2)) = 0 Combine like terms: 9u + 32u = 41u (72 + 41u + 4u2) = 0 Solving 72 + 41u + 4u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + u)(9 + 4u) = 0Subproblem 1
Set the factor '(8 + u)' equal to zero and attempt to solve: Simplifying 8 + u = 0 Solving 8 + u = 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 + u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + u = 0 + -8 u = 0 + -8 Combine like terms: 0 + -8 = -8 u = -8 Simplifying u = -8Subproblem 2
Set the factor '(9 + 4u)' equal to zero and attempt to solve: Simplifying 9 + 4u = 0 Solving 9 + 4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 4u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 4u = 0 + -9 4u = 0 + -9 Combine like terms: 0 + -9 = -9 4u = -9 Divide each side by '4'. u = -2.25 Simplifying u = -2.25Solution
u = {-8, -2.25}
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