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Simplifying 9q2 = 6q + -1 Reorder the terms: 9q2 = -1 + 6q Solving 9q2 = -1 + 6q Solving for variable 'q'. Reorder the terms: 1 + -6q + 9q2 = -1 + 6q + 1 + -6q Reorder the terms: 1 + -6q + 9q2 = -1 + 1 + 6q + -6q Combine like terms: -1 + 1 = 0 1 + -6q + 9q2 = 0 + 6q + -6q 1 + -6q + 9q2 = 6q + -6q Combine like terms: 6q + -6q = 0 1 + -6q + 9q2 = 0 Factor a trinomial. (1 + -3q)(1 + -3q) = 0Subproblem 1
Set the factor '(1 + -3q)' equal to zero and attempt to solve: Simplifying 1 + -3q = 0 Solving 1 + -3q = 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 + -3q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3q = 0 + -1 -3q = 0 + -1 Combine like terms: 0 + -1 = -1 -3q = -1 Divide each side by '-3'. q = 0.3333333333 Simplifying q = 0.3333333333Subproblem 2
Set the factor '(1 + -3q)' equal to zero and attempt to solve: Simplifying 1 + -3q = 0 Solving 1 + -3q = 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 + -3q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3q = 0 + -1 -3q = 0 + -1 Combine like terms: 0 + -1 = -1 -3q = -1 Divide each side by '-3'. q = 0.3333333333 Simplifying q = 0.3333333333Solution
q = {0.3333333333, 0.3333333333}
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