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Simplifying 27q2 = 9q Solving 27q2 = 9q Solving for variable 'q'. Reorder the terms: -9q + 27q2 = 9q + -9q Combine like terms: 9q + -9q = 0 -9q + 27q2 = 0 Factor out the Greatest Common Factor (GCF), '9q'. 9q(-1 + 3q) = 0 Ignore the factor 9.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 '(-1 + 3q)' equal to zero and attempt to solve: Simplifying -1 + 3q = 0 Solving -1 + 3q = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3q = 0 + 1 3q = 0 + 1 Combine like terms: 0 + 1 = 1 3q = 1 Divide each side by '3'. q = 0.3333333333 Simplifying q = 0.3333333333Solution
q = {0, 0.3333333333}
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