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Simplifying q2 + 8 = -9q Reorder the terms: 8 + q2 = -9q Solving 8 + q2 = -9q Solving for variable 'q'. Reorder the terms: 8 + 9q + q2 = -9q + 9q Combine like terms: -9q + 9q = 0 8 + 9q + q2 = 0 Factor a trinomial. (8 + q)(1 + q) = 0Subproblem 1
Set the factor '(8 + q)' equal to zero and attempt to solve: Simplifying 8 + q = 0 Solving 8 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + q = 0 + -8 q = 0 + -8 Combine like terms: 0 + -8 = -8 q = -8 Simplifying q = -8Subproblem 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 = {-8, -1}
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