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Simplifying (2u + 3)(8 + -1u) = 0 Reorder the terms: (3 + 2u)(8 + -1u) = 0 Multiply (3 + 2u) * (8 + -1u) (3(8 + -1u) + 2u * (8 + -1u)) = 0 ((8 * 3 + -1u * 3) + 2u * (8 + -1u)) = 0 ((24 + -3u) + 2u * (8 + -1u)) = 0 (24 + -3u + (8 * 2u + -1u * 2u)) = 0 (24 + -3u + (16u + -2u2)) = 0 Combine like terms: -3u + 16u = 13u (24 + 13u + -2u2) = 0 Solving 24 + 13u + -2u2 = 0 Solving for variable 'u'. Factor a trinomial. (8 + -1u)(3 + 2u) = 0Subproblem 1
Set the factor '(8 + -1u)' equal to zero and attempt to solve: Simplifying 8 + -1u = 0 Solving 8 + -1u = 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 + -1u = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1u = 0 + -8 -1u = 0 + -8 Combine like terms: 0 + -8 = -8 -1u = -8 Divide each side by '-1'. u = 8 Simplifying u = 8Subproblem 2
Set the factor '(3 + 2u)' equal to zero and attempt to solve: Simplifying 3 + 2u = 0 Solving 3 + 2u = 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 + 2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2u = 0 + -3 2u = 0 + -3 Combine like terms: 0 + -3 = -3 2u = -3 Divide each side by '2'. u = -1.5 Simplifying u = -1.5Solution
u = {8, -1.5}
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