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Simplifying 12q2 + -13q + -14 = 0 Reorder the terms: -14 + -13q + 12q2 = 0 Solving -14 + -13q + 12q2 = 0 Solving for variable 'q'. Factor a trinomial. (-2 + -3q)(7 + -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 '(7 + -4q)' equal to zero and attempt to solve: Simplifying 7 + -4q = 0 Solving 7 + -4q = 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 + -4q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -4q = 0 + -7 -4q = 0 + -7 Combine like terms: 0 + -7 = -7 -4q = -7 Divide each side by '-4'. q = 1.75 Simplifying q = 1.75Solution
q = {-0.6666666667, 1.75}
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