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Simplifying 11q2 + -27q = 0 Reorder the terms: -27q + 11q2 = 0 Solving -27q + 11q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(-27 + 11q) = 0Subproblem 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 '(-27 + 11q)' equal to zero and attempt to solve: Simplifying -27 + 11q = 0 Solving -27 + 11q = 0 Move all terms containing q to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 11q = 0 + 27 Combine like terms: -27 + 27 = 0 0 + 11q = 0 + 27 11q = 0 + 27 Combine like terms: 0 + 27 = 27 11q = 27 Divide each side by '11'. q = 2.454545455 Simplifying q = 2.454545455Solution
q = {0, 2.454545455}
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