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Simplifying 5q(q + 2) = 0 Reorder the terms: 5q(2 + q) = 0 (2 * 5q + q * 5q) = 0 (10q + 5q2) = 0 Solving 10q + 5q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '5q'. 5q(2 + q) = 0 Ignore the factor 5.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 '(2 + q)' equal to zero and attempt to solve: Simplifying 2 + q = 0 Solving 2 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + q = 0 + -2 q = 0 + -2 Combine like terms: 0 + -2 = -2 q = -2 Simplifying q = -2Solution
q = {0, -2}
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