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Simplifying q2 + 9q + -22 = 0 Reorder the terms: -22 + 9q + q2 = 0 Solving -22 + 9q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (-11 + -1q)(2 + -1q) = 0Subproblem 1
Set the factor '(-11 + -1q)' equal to zero and attempt to solve: Simplifying -11 + -1q = 0 Solving -11 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -1q = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -1q = 0 + 11 -1q = 0 + 11 Combine like terms: 0 + 11 = 11 -1q = 11 Divide each side by '-1'. q = -11 Simplifying q = -11Subproblem 2
Set the factor '(2 + -1q)' equal to zero and attempt to solve: Simplifying 2 + -1q = 0 Solving 2 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1q = 0 + -2 -1q = 0 + -2 Combine like terms: 0 + -2 = -2 -1q = -2 Divide each side by '-1'. q = 2 Simplifying q = 2Solution
q = {-11, 2}
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