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Simplifying 2q2 + 3q = 0 Reorder the terms: 3q + 2q2 = 0 Solving 3q + 2q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(3 + 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 '(3 + 2q)' equal to zero and attempt to solve: Simplifying 3 + 2q = 0 Solving 3 + 2q = 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 + 2q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2q = 0 + -3 2q = 0 + -3 Combine like terms: 0 + -3 = -3 2q = -3 Divide each side by '2'. q = -1.5 Simplifying q = -1.5Solution
q = {0, -1.5}
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