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Simplifying 96q2 + 27q = 0 Reorder the terms: 27q + 96q2 = 0 Solving 27q + 96q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '3q'. 3q(9 + 32q) = 0 Ignore the factor 3.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 '(9 + 32q)' equal to zero and attempt to solve: Simplifying 9 + 32q = 0 Solving 9 + 32q = 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 + 32q = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 32q = 0 + -9 32q = 0 + -9 Combine like terms: 0 + -9 = -9 32q = -9 Divide each side by '32'. q = -0.28125 Simplifying q = -0.28125Solution
q = {0, -0.28125}
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