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Simplifying 20q2 + 95q + 60 = 0 Reorder the terms: 60 + 95q + 20q2 = 0 Solving 60 + 95q + 20q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '5'. 5(12 + 19q + 4q2) = 0 Factor a trinomial. 5((4 + q)(3 + 4q)) = 0 Ignore the factor 5.Subproblem 1
Set the factor '(4 + q)' equal to zero and attempt to solve: Simplifying 4 + q = 0 Solving 4 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + q = 0 + -4 q = 0 + -4 Combine like terms: 0 + -4 = -4 q = -4 Simplifying q = -4Subproblem 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 = {-4, -0.75}
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