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Simplifying 12q2 + -23q + 10 = 0 Reorder the terms: 10 + -23q + 12q2 = 0 Solving 10 + -23q + 12q2 = 0 Solving for variable 'q'. Factor a trinomial. (2 + -3q)(5 + -4q) = 0Subproblem 1
Set the factor '(2 + -3q)' equal to zero and attempt to solve: Simplifying 2 + -3q = 0 Solving 2 + -3q = 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 + -3q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3q = 0 + -2 -3q = 0 + -2 Combine like terms: 0 + -2 = -2 -3q = -2 Divide each side by '-3'. q = 0.6666666667 Simplifying q = 0.6666666667Subproblem 2
Set the factor '(5 + -4q)' equal to zero and attempt to solve: Simplifying 5 + -4q = 0 Solving 5 + -4q = 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 + -4q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4q = 0 + -5 -4q = 0 + -5 Combine like terms: 0 + -5 = -5 -4q = -5 Divide each side by '-4'. q = 1.25 Simplifying q = 1.25Solution
q = {0.6666666667, 1.25}
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