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Simplifying 8q2 + 6q + -9 = 0 Reorder the terms: -9 + 6q + 8q2 = 0 Solving -9 + 6q + 8q2 = 0 Solving for variable 'q'. Factor a trinomial. (-3 + -2q)(3 + -4q) = 0Subproblem 1
Set the factor '(-3 + -2q)' equal to zero and attempt to solve: Simplifying -3 + -2q = 0 Solving -3 + -2q = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -2q = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2q = 0 + 3 -2q = 0 + 3 Combine like terms: 0 + 3 = 3 -2q = 3 Divide each side by '-2'. q = -1.5 Simplifying q = -1.5Subproblem 2
Set the factor '(3 + -4q)' equal to zero and attempt to solve: Simplifying 3 + -4q = 0 Solving 3 + -4q = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -4q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4q = 0 + -3 -4q = 0 + -3 Combine like terms: 0 + -3 = -3 -4q = -3 Divide each side by '-4'. q = 0.75 Simplifying q = 0.75Solution
q = {-1.5, 0.75}
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