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Simplifying 6q2 + -11q + -72 = 0 Reorder the terms: -72 + -11q + 6q2 = 0 Solving -72 + -11q + 6q2 = 0 Solving for variable 'q'. Factor a trinomial. (-8 + -3q)(9 + -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 '(9 + -2q)' equal to zero and attempt to solve: Simplifying 9 + -2q = 0 Solving 9 + -2q = 0 Move all terms containing q to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -2q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2q = 0 + -9 -2q = 0 + -9 Combine like terms: 0 + -9 = -9 -2q = -9 Divide each side by '-2'. q = 4.5 Simplifying q = 4.5Solution
q = {-2.666666667, 4.5}
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