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Simplifying 6q2 + 5 = 17q Reorder the terms: 5 + 6q2 = 17q Solving 5 + 6q2 = 17q Solving for variable 'q'. Reorder the terms: 5 + -17q + 6q2 = 17q + -17q Combine like terms: 17q + -17q = 0 5 + -17q + 6q2 = 0 Factor a trinomial. (1 + -3q)(5 + -2q) = 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 '(5 + -2q)' equal to zero and attempt to solve: Simplifying 5 + -2q = 0 Solving 5 + -2q = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2q = 0 + -5 -2q = 0 + -5 Combine like terms: 0 + -5 = -5 -2q = -5 Divide each side by '-2'. q = 2.5 Simplifying q = 2.5Solution
q = {0.3333333333, 2.5}
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