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Simplifying 3q2r2 + 5q = 0 Reorder the terms: 5q + 3q2r2 = 0 Solving 5q + 3q2r2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), 'q'. q(5 + 3qr2) = 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 '(5 + 3qr2)' equal to zero and attempt to solve: Simplifying 5 + 3qr2 = 0 Solving 5 + 3qr2 = 0 Move all terms containing q to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 3qr2 = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3qr2 = 0 + -5 3qr2 = 0 + -5 Combine like terms: 0 + -5 = -5 3qr2 = -5 Divide each side by '3r2'. q = -1.666666667r-2 Simplifying q = -1.666666667r-2Solution
q = {0, -1.666666667r-2}
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