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