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Simplifying 3q2 + -60q + -2400 = 0 Reorder the terms: -2400 + -60q + 3q2 = 0 Solving -2400 + -60q + 3q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '3'. 3(-800 + -20q + q2) = 0 Factor a trinomial. 3((-20 + -1q)(40 + -1q)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-20 + -1q)' equal to zero and attempt to solve: Simplifying -20 + -1q = 0 Solving -20 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '20' to each side of the equation. -20 + 20 + -1q = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -1q = 0 + 20 -1q = 0 + 20 Combine like terms: 0 + 20 = 20 -1q = 20 Divide each side by '-1'. q = -20 Simplifying q = -20Subproblem 2
Set the factor '(40 + -1q)' equal to zero and attempt to solve: Simplifying 40 + -1q = 0 Solving 40 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + -1q = 0 + -40 Combine like terms: 40 + -40 = 0 0 + -1q = 0 + -40 -1q = 0 + -40 Combine like terms: 0 + -40 = -40 -1q = -40 Divide each side by '-1'. q = 40 Simplifying q = 40Solution
q = {-20, 40}
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