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Simplifying 9q2 + 3q = 0 Reorder the terms: 3q + 9q2 = 0 Solving 3q + 9q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '3q'. 3q(1 + 3q) = 0 Ignore the factor 3.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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