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Simplifying q2 + 8q + 7 = 0 Reorder the terms: 7 + 8q + q2 = 0 Solving 7 + 8q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (7 + q)(1 + q) = 0Subproblem 1
Set the factor '(7 + q)' equal to zero and attempt to solve: Simplifying 7 + q = 0 Solving 7 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + q = 0 + -7 q = 0 + -7 Combine like terms: 0 + -7 = -7 q = -7 Simplifying q = -7Subproblem 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 = {-7, -1}
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