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Simplifying 2q2 + -13q + -34 = 0 Reorder the terms: -34 + -13q + 2q2 = 0 Solving -34 + -13q + 2q2 = 0 Solving for variable 'q'. Factor a trinomial. (-2 + -1q)(17 + -2q) = 0Subproblem 1
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 = -2Subproblem 2
Set the factor '(17 + -2q)' equal to zero and attempt to solve: Simplifying 17 + -2q = 0 Solving 17 + -2q = 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 + -2q = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -2q = 0 + -17 -2q = 0 + -17 Combine like terms: 0 + -17 = -17 -2q = -17 Divide each side by '-2'. q = 8.5 Simplifying q = 8.5Solution
q = {-2, 8.5}
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