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Simplifying 9q2 + -78q + 48 = 0 Reorder the terms: 48 + -78q + 9q2 = 0 Solving 48 + -78q + 9q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '3'. 3(16 + -26q + 3q2) = 0 Factor a trinomial. 3((2 + -3q)(8 + -1q)) = 0 Ignore the factor 3.Subproblem 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 '(8 + -1q)' equal to zero and attempt to solve: Simplifying 8 + -1q = 0 Solving 8 + -1q = 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 + -1q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1q = 0 + -8 -1q = 0 + -8 Combine like terms: 0 + -8 = -8 -1q = -8 Divide each side by '-1'. q = 8 Simplifying q = 8Solution
q = {0.6666666667, 8}
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