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Simplifying 6q2 + 25q + 24 = 0 Reorder the terms: 24 + 25q + 6q2 = 0 Solving 24 + 25q + 6q2 = 0 Solving for variable 'q'. Factor a trinomial. (8 + 3q)(3 + 2q) = 0Subproblem 1
Set the factor '(8 + 3q)' equal to zero and attempt to solve: Simplifying 8 + 3q = 0 Solving 8 + 3q = 0 Move all terms containing q to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3q = 0 + -8 3q = 0 + -8 Combine like terms: 0 + -8 = -8 3q = -8 Divide each side by '3'. q = -2.666666667 Simplifying q = -2.666666667Subproblem 2
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 = -1.5Solution
q = {-2.666666667, -1.5}
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