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Simplifying q2 + 16q + -17 = 0 Reorder the terms: -17 + 16q + q2 = 0 Solving -17 + 16q + q2 = 0 Solving for variable 'q'. Factor a trinomial. (-17 + -1q)(1 + -1q) = 0Subproblem 1
Set the factor '(-17 + -1q)' equal to zero and attempt to solve: Simplifying -17 + -1q = 0 Solving -17 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1q = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1q = 0 + 17 -1q = 0 + 17 Combine like terms: 0 + 17 = 17 -1q = 17 Divide each side by '-1'. q = -17 Simplifying q = -17Subproblem 2
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 = 1Solution
q = {-17, 1}
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