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Simplifying 32q2 + -8q = 0 Reorder the terms: -8q + 32q2 = 0 Solving -8q + 32q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '8q'. 8q(-1 + 4q) = 0 Ignore the factor 8.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 '(-1 + 4q)' equal to zero and attempt to solve: Simplifying -1 + 4q = 0 Solving -1 + 4q = 0 Move all terms containing q to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 4q = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4q = 0 + 1 4q = 0 + 1 Combine like terms: 0 + 1 = 1 4q = 1 Divide each side by '4'. q = 0.25 Simplifying q = 0.25Solution
q = {0, 0.25}
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