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Simplifying q2 + -32q = 0 Reorder the terms: -32q + q2 = 0 Solving -32q + q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(-32 + 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 '(-32 + q)' equal to zero and attempt to solve: Simplifying -32 + q = 0 Solving -32 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '32' to each side of the equation. -32 + 32 + q = 0 + 32 Combine like terms: -32 + 32 = 0 0 + q = 0 + 32 q = 0 + 32 Combine like terms: 0 + 32 = 32 q = 32 Simplifying q = 32Solution
q = {0, 32}
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