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Simplifying q2 = 8q Solving q2 = 8q Solving for variable 'q'. Reorder the terms: -8q + q2 = 8q + -8q Combine like terms: 8q + -8q = 0 -8q + q2 = 0 Factor out the Greatest Common Factor (GCF), 'q'. q(-8 + 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 '(-8 + q)' equal to zero and attempt to solve: Simplifying -8 + q = 0 Solving -8 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + q = 0 + 8 Combine like terms: -8 + 8 = 0 0 + q = 0 + 8 q = 0 + 8 Combine like terms: 0 + 8 = 8 q = 8 Simplifying q = 8Solution
q = {0, 8}
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