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Simplifying 8q(2q + 8) = 0 Reorder the terms: 8q(8 + 2q) = 0 (8 * 8q + 2q * 8q) = 0 (64q + 16q2) = 0 Solving 64q + 16q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '16q'. 16q(4 + q) = 0 Ignore the factor 16.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 '(4 + q)' equal to zero and attempt to solve: Simplifying 4 + q = 0 Solving 4 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + q = 0 + -4 Combine like terms: 4 + -4 = 0 0 + q = 0 + -4 q = 0 + -4 Combine like terms: 0 + -4 = -4 q = -4 Simplifying q = -4Solution
q = {0, -4}
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