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Simplifying 0 = 11q2 + 20q Reorder the terms: 0 = 20q + 11q2 Solving 0 = 20q + 11q2 Solving for variable 'q'. Remove the zero: -20q + -11q2 = 20q + 11q2 + -20q + -11q2 Reorder the terms: -20q + -11q2 = 20q + -20q + 11q2 + -11q2 Combine like terms: 20q + -20q = 0 -20q + -11q2 = 0 + 11q2 + -11q2 -20q + -11q2 = 11q2 + -11q2 Combine like terms: 11q2 + -11q2 = 0 -20q + -11q2 = 0 Factor out the Greatest Common Factor (GCF), '-1q'. -1q(20 + 11q) = 0 Ignore the factor -1.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 + 11q)' equal to zero and attempt to solve: Simplifying 20 + 11q = 0 Solving 20 + 11q = 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 + 11q = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 11q = 0 + -20 11q = 0 + -20 Combine like terms: 0 + -20 = -20 11q = -20 Divide each side by '11'. q = -1.818181818 Simplifying q = -1.818181818Solution
q = {0, -1.818181818}
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