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Simplifying 6q2 + 60q = 0 Reorder the terms: 60q + 6q2 = 0 Solving 60q + 6q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '6q'. 6q(10 + q) = 0 Ignore the factor 6.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 '(10 + q)' equal to zero and attempt to solve: Simplifying 10 + q = 0 Solving 10 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + q = 0 + -10 Combine like terms: 10 + -10 = 0 0 + q = 0 + -10 q = 0 + -10 Combine like terms: 0 + -10 = -10 q = -10 Simplifying q = -10Solution
q = {0, -10}
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