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