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Simplifying 4q(q + 8) = 0 Reorder the terms: 4q(8 + q) = 0 (8 * 4q + q * 4q) = 0 (32q + 4q2) = 0 Solving 32q + 4q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '4q'. 4q(8 + q) = 0 Ignore the factor 4.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 + q)' equal to zero and attempt to solve: Simplifying 8 + q = 0 Solving 8 + q = 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 + q = 0 + -8 Combine like terms: 8 + -8 = 0 0 + q = 0 + -8 q = 0 + -8 Combine like terms: 0 + -8 = -8 q = -8 Simplifying q = -8Solution
q = {0, -8}
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