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Simplifying (2u + 9)(4 + -1u) = 0 Reorder the terms: (9 + 2u)(4 + -1u) = 0 Multiply (9 + 2u) * (4 + -1u) (9(4 + -1u) + 2u * (4 + -1u)) = 0 ((4 * 9 + -1u * 9) + 2u * (4 + -1u)) = 0 ((36 + -9u) + 2u * (4 + -1u)) = 0 (36 + -9u + (4 * 2u + -1u * 2u)) = 0 (36 + -9u + (8u + -2u2)) = 0 Combine like terms: -9u + 8u = -1u (36 + -1u + -2u2) = 0 Solving 36 + -1u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (4 + -1u)(9 + 2u) = 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 '(9 + 2u)' equal to zero and attempt to solve: Simplifying 9 + 2u = 0 Solving 9 + 2u = 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 + 2u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2u = 0 + -9 2u = 0 + -9 Combine like terms: 0 + -9 = -9 2u = -9 Divide each side by '2'. u = -4.5 Simplifying u = -4.5Solution
u = {4, -4.5}
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