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Simplifying 2q2 + 7q = 0 Reorder the terms: 7q + 2q2 = 0 Solving 7q + 2q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(7 + 2q) = 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 '(7 + 2q)' equal to zero and attempt to solve: Simplifying 7 + 2q = 0 Solving 7 + 2q = 0 Move all terms containing q to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 2q = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 2q = 0 + -7 2q = 0 + -7 Combine like terms: 0 + -7 = -7 2q = -7 Divide each side by '2'. q = -3.5 Simplifying q = -3.5Solution
q = {0, -3.5}
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