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Simplifying (u + 9)(u + 4) = -6 Reorder the terms: (9 + u)(u + 4) = -6 Reorder the terms: (9 + u)(4 + u) = -6 Multiply (9 + u) * (4 + u) (9(4 + u) + u(4 + u)) = -6 ((4 * 9 + u * 9) + u(4 + u)) = -6 ((36 + 9u) + u(4 + u)) = -6 (36 + 9u + (4 * u + u * u)) = -6 (36 + 9u + (4u + u2)) = -6 Combine like terms: 9u + 4u = 13u (36 + 13u + u2) = -6 Solving 36 + 13u + u2 = -6 Solving for variable 'u'. Reorder the terms: 36 + 6 + 13u + u2 = -6 + 6 Combine like terms: 36 + 6 = 42 42 + 13u + u2 = -6 + 6 Combine like terms: -6 + 6 = 0 42 + 13u + u2 = 0 Factor a trinomial. (7 + u)(6 + u) = 0Subproblem 1
Set the factor '(7 + u)' equal to zero and attempt to solve: Simplifying 7 + u = 0 Solving 7 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + u = 0 + -7 Combine like terms: 7 + -7 = 0 0 + u = 0 + -7 u = 0 + -7 Combine like terms: 0 + -7 = -7 u = -7 Simplifying u = -7Subproblem 2
Set the factor '(6 + u)' equal to zero and attempt to solve: Simplifying 6 + u = 0 Solving 6 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + u = 0 + -6 u = 0 + -6 Combine like terms: 0 + -6 = -6 u = -6 Simplifying u = -6Solution
u = {-7, -6}
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