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Simplifying -8q + 9 + -1q2 = 0 Reorder the terms: 9 + -8q + -1q2 = 0 Solving 9 + -8q + -1q2 = 0 Solving for variable 'q'. Factor a trinomial. (1 + -1q)(9 + q) = 0Subproblem 1
Set the factor '(1 + -1q)' equal to zero and attempt to solve: Simplifying 1 + -1q = 0 Solving 1 + -1q = 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 + -1q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1q = 0 + -1 -1q = 0 + -1 Combine like terms: 0 + -1 = -1 -1q = -1 Divide each side by '-1'. q = 1 Simplifying q = 1Subproblem 2
Set the factor '(9 + q)' equal to zero and attempt to solve: Simplifying 9 + q = 0 Solving 9 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + q = 0 + -9 q = 0 + -9 Combine like terms: 0 + -9 = -9 q = -9 Simplifying q = -9Solution
q = {1, -9}
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