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Simplifying 2q2 + 7q + -1q = 0 Reorder the terms: 7q + -1q + 2q2 = 0 Combine like terms: 7q + -1q = 6q 6q + 2q2 = 0 Solving 6q + 2q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '2q'. 2q(3 + q) = 0 Ignore the factor 2.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 '(3 + q)' equal to zero and attempt to solve: Simplifying 3 + q = 0 Solving 3 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + q = 0 + -3 q = 0 + -3 Combine like terms: 0 + -3 = -3 q = -3 Simplifying q = -3Solution
q = {0, -3}
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