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Simplifying 3q2 + -1q2 = 80q + -40q Combine like terms: 3q2 + -1q2 = 2q2 2q2 = 80q + -40q Combine like terms: 80q + -40q = 40q 2q2 = 40q Solving 2q2 = 40q Solving for variable 'q'. Reorder the terms: -40q + 2q2 = 40q + -40q Combine like terms: 40q + -40q = 0 -40q + 2q2 = 0 Factor out the Greatest Common Factor (GCF), '2q'. 2q(-20 + q) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'q' equal to zero and attempt to solve: Simplifying q = 0 Solving q = 0 Move all terms containing q to the left, all other terms to the right. Simplifying q = 0Subproblem 2
Set the factor '(-20 + q)' equal to zero and attempt to solve: Simplifying -20 + q = 0 Solving -20 + q = 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 + q = 0 + 20 Combine like terms: -20 + 20 = 0 0 + q = 0 + 20 q = 0 + 20 Combine like terms: 0 + 20 = 20 q = 20 Simplifying q = 20Solution
q = {0, 20}
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