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Simplifying 7q2 + 2q = 0 Reorder the terms: 2q + 7q2 = 0 Solving 2q + 7q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(2 + 7q) = 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 '(2 + 7q)' equal to zero and attempt to solve: Simplifying 2 + 7q = 0 Solving 2 + 7q = 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 + 7q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7q = 0 + -2 7q = 0 + -2 Combine like terms: 0 + -2 = -2 7q = -2 Divide each side by '7'. q = -0.2857142857 Simplifying q = -0.2857142857Solution
q = {0, -0.2857142857}
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