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Simplifying -12q2 + 96q = 0 Reorder the terms: 96q + -12q2 = 0 Solving 96q + -12q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '12q'. 12q(8 + -1q) = 0 Ignore the factor 12.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 '(8 + -1q)' equal to zero and attempt to solve: Simplifying 8 + -1q = 0 Solving 8 + -1q = 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 + -1q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1q = 0 + -8 -1q = 0 + -8 Combine like terms: 0 + -8 = -8 -1q = -8 Divide each side by '-1'. q = 8 Simplifying q = 8Solution
q = {0, 8}
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