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Simplifying 17q + -12q2 + 5 = 0 Reorder the terms: 5 + 17q + -12q2 = 0 Solving 5 + 17q + -12q2 = 0 Solving for variable 'q'. Factor a trinomial. (5 + -3q)(1 + 4q) = 0Subproblem 1
Set the factor '(5 + -3q)' equal to zero and attempt to solve: Simplifying 5 + -3q = 0 Solving 5 + -3q = 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 + -3q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3q = 0 + -5 -3q = 0 + -5 Combine like terms: 0 + -5 = -5 -3q = -5 Divide each side by '-3'. q = 1.666666667 Simplifying q = 1.666666667Subproblem 2
Set the factor '(1 + 4q)' equal to zero and attempt to solve: Simplifying 1 + 4q = 0 Solving 1 + 4q = 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 + 4q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4q = 0 + -1 4q = 0 + -1 Combine like terms: 0 + -1 = -1 4q = -1 Divide each side by '4'. q = -0.25 Simplifying q = -0.25Solution
q = {1.666666667, -0.25}
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