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Simplifying 3q(3q + 1)(3q + -1) = equation Reorder the terms: 3q(1 + 3q)(3q + -1) = equation Reorder the terms: 3q(1 + 3q)(-1 + 3q) = equation Multiply (1 + 3q) * (-1 + 3q) 3q(1(-1 + 3q) + 3q * (-1 + 3q)) = equation 3q((-1 * 1 + 3q * 1) + 3q * (-1 + 3q)) = equation 3q((-1 + 3q) + 3q * (-1 + 3q)) = equation 3q(-1 + 3q + (-1 * 3q + 3q * 3q)) = equation 3q(-1 + 3q + (-3q + 9q2)) = equation Combine like terms: 3q + -3q = 0 3q(-1 + 0 + 9q2) = equation 3q(-1 + 9q2) = equation (-1 * 3q + 9q2 * 3q) = equation (-3q + 27q3) = equation Solving -3q + 27q3 = aeinoqtu Solving for variable 'q'. Reorder the terms: -1aeinoqtu + -3q + 27q3 = aeinoqtu + -1aeinoqtu Combine like terms: aeinoqtu + -1aeinoqtu = 0 -1aeinoqtu + -3q + 27q3 = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(-1aeinotu + -3 + 27q2) = 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 '(-1aeinotu + -3 + 27q2)' equal to zero and attempt to solve: Simplifying -1aeinotu + -3 + 27q2 = 0 Reorder the terms: -3 + -1aeinotu + 27q2 = 0 Solving -3 + -1aeinotu + 27q2 = 0 Move all terms containing q to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1aeinotu + 3 + 27q2 = 0 + 3 Reorder the terms: -3 + 3 + -1aeinotu + 27q2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1aeinotu + 27q2 = 0 + 3 -1aeinotu + 27q2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1aeinotu + 27q2 = 3 Add 'aeinotu' to each side of the equation. -1aeinotu + aeinotu + 27q2 = 3 + aeinotu Combine like terms: -1aeinotu + aeinotu = 0 0 + 27q2 = 3 + aeinotu 27q2 = 3 + aeinotu Divide each side by '27'. q2 = 0.1111111111 + 0.03703703704aeinotu Simplifying q2 = 0.1111111111 + 0.03703703704aeinotu The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
q = {0}
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