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Simplifying (2u + 3)(2 + u) = 0 Reorder the terms: (3 + 2u)(2 + u) = 0 Multiply (3 + 2u) * (2 + u) (3(2 + u) + 2u * (2 + u)) = 0 ((2 * 3 + u * 3) + 2u * (2 + u)) = 0 ((6 + 3u) + 2u * (2 + u)) = 0 (6 + 3u + (2 * 2u + u * 2u)) = 0 (6 + 3u + (4u + 2u2)) = 0 Combine like terms: 3u + 4u = 7u (6 + 7u + 2u2) = 0 Solving 6 + 7u + 2u2 = 0 Solving for variable 'u'. Factor a trinomial. (2 + u)(3 + 2u) = 0Subproblem 1
Set the factor '(2 + u)' equal to zero and attempt to solve: Simplifying 2 + u = 0 Solving 2 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + u = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u = 0 + -2 u = 0 + -2 Combine like terms: 0 + -2 = -2 u = -2 Simplifying u = -2Subproblem 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 = {-2, -1.5}
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