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Simplifying 9q2 + 48q + 64 = 0 Reorder the terms: 64 + 48q + 9q2 = 0 Solving 64 + 48q + 9q2 = 0 Solving for variable 'q'. Factor a trinomial. (8 + 3q)(8 + 3q) = 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 '(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 = -2.666666667Solution
q = {-2.666666667, -2.666666667}
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