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Simplifying -27q2 + 24q + 91 = 0 Reorder the terms: 91 + 24q + -27q2 = 0 Solving 91 + 24q + -27q2 = 0 Solving for variable 'q'. Factor a trinomial. (7 + -3q)(13 + 9q) = 0Subproblem 1
Set the factor '(7 + -3q)' equal to zero and attempt to solve: Simplifying 7 + -3q = 0 Solving 7 + -3q = 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 + -3q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -3q = 0 + -7 -3q = 0 + -7 Combine like terms: 0 + -7 = -7 -3q = -7 Divide each side by '-3'. q = 2.333333333 Simplifying q = 2.333333333Subproblem 2
Set the factor '(13 + 9q)' equal to zero and attempt to solve: Simplifying 13 + 9q = 0 Solving 13 + 9q = 0 Move all terms containing q to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 9q = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 9q = 0 + -13 9q = 0 + -13 Combine like terms: 0 + -13 = -13 9q = -13 Divide each side by '9'. q = -1.444444444 Simplifying q = -1.444444444Solution
q = {2.333333333, -1.444444444}
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