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Simplifying 12q3 + 2q = 0 Reorder the terms: 2q + 12q3 = 0 Solving 2q + 12q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2q'. 2q(1 + 6q2) = 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 '(1 + 6q2)' equal to zero and attempt to solve: Simplifying 1 + 6q2 = 0 Solving 1 + 6q2 = 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 + 6q2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 6q2 = 0 + -1 6q2 = 0 + -1 Combine like terms: 0 + -1 = -1 6q2 = -1 Divide each side by '6'. q2 = -0.1666666667 Simplifying q2 = -0.1666666667 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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