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Simplifying (q + 6)(q + 5) = 0 Reorder the terms: (6 + q)(q + 5) = 0 Reorder the terms: (6 + q)(5 + q) = 0 Multiply (6 + q) * (5 + q) (6(5 + q) + q(5 + q)) = 0 ((5 * 6 + q * 6) + q(5 + q)) = 0 ((30 + 6q) + q(5 + q)) = 0 (30 + 6q + (5 * q + q * q)) = 0 (30 + 6q + (5q + q2)) = 0 Combine like terms: 6q + 5q = 11q (30 + 11q + q2) = 0 Solving 30 + 11q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (6 + q)(5 + q) = 0Subproblem 1
Set the factor '(6 + q)' equal to zero and attempt to solve: Simplifying 6 + q = 0 Solving 6 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + q = 0 + -6 Combine like terms: 6 + -6 = 0 0 + q = 0 + -6 q = 0 + -6 Combine like terms: 0 + -6 = -6 q = -6 Simplifying q = -6Subproblem 2
Set the factor '(5 + q)' equal to zero and attempt to solve: Simplifying 5 + q = 0 Solving 5 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + q = 0 + -5 q = 0 + -5 Combine like terms: 0 + -5 = -5 q = -5 Simplifying q = -5Solution
q = {-6, -5}
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