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Simplifying 6q2 + 5q = 0 Reorder the terms: 5q + 6q2 = 0 Solving 5q + 6q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(5 + 6q) = 0Subproblem 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 '(5 + 6q)' equal to zero and attempt to solve: Simplifying 5 + 6q = 0 Solving 5 + 6q = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 6q = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6q = 0 + -5 6q = 0 + -5 Combine like terms: 0 + -5 = -5 6q = -5 Divide each side by '6'. q = -0.8333333333 Simplifying q = -0.8333333333Solution
q = {0, -0.8333333333}
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