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Simplifying 40q2 + 39q = 0 Reorder the terms: 39q + 40q2 = 0 Solving 39q + 40q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(39 + 40q) = 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 '(39 + 40q)' equal to zero and attempt to solve: Simplifying 39 + 40q = 0 Solving 39 + 40q = 0 Move all terms containing q to the left, all other terms to the right. Add '-39' to each side of the equation. 39 + -39 + 40q = 0 + -39 Combine like terms: 39 + -39 = 0 0 + 40q = 0 + -39 40q = 0 + -39 Combine like terms: 0 + -39 = -39 40q = -39 Divide each side by '40'. q = -0.975 Simplifying q = -0.975Solution
q = {0, -0.975}
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