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Simplifying 3q2 + -120q + -6300 = 0 Reorder the terms: -6300 + -120q + 3q2 = 0 Solving -6300 + -120q + 3q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '3'. 3(-2100 + -40q + q2) = 0 Factor a trinomial. 3((-30 + -1q)(70 + -1q)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-30 + -1q)' equal to zero and attempt to solve: Simplifying -30 + -1q = 0 Solving -30 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -1q = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -1q = 0 + 30 -1q = 0 + 30 Combine like terms: 0 + 30 = 30 -1q = 30 Divide each side by '-1'. q = -30 Simplifying q = -30Subproblem 2
Set the factor '(70 + -1q)' equal to zero and attempt to solve: Simplifying 70 + -1q = 0 Solving 70 + -1q = 0 Move all terms containing q to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + -1q = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -1q = 0 + -70 -1q = 0 + -70 Combine like terms: 0 + -70 = -70 -1q = -70 Divide each side by '-1'. q = 70 Simplifying q = 70Solution
q = {-30, 70}
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