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Simplifying q2 + 12q = 0 Reorder the terms: 12q + q2 = 0 Solving 12q + q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(12 + 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 '(12 + q)' equal to zero and attempt to solve: Simplifying 12 + q = 0 Solving 12 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + q = 0 + -12 Combine like terms: 12 + -12 = 0 0 + q = 0 + -12 q = 0 + -12 Combine like terms: 0 + -12 = -12 q = -12 Simplifying q = -12Solution
q = {0, -12}
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