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Simplifying 25q3 + 65q2 + 30q = 0 Reorder the terms: 30q + 65q2 + 25q3 = 0 Solving 30q + 65q2 + 25q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '5q'. 5q(6 + 13q + 5q2) = 0 Factor a trinomial. 5q((2 + q)(3 + 5q)) = 0 Ignore the factor 5.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 '(2 + q)' equal to zero and attempt to solve: Simplifying 2 + q = 0 Solving 2 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + q = 0 + -2 Combine like terms: 2 + -2 = 0 0 + q = 0 + -2 q = 0 + -2 Combine like terms: 0 + -2 = -2 q = -2 Simplifying q = -2Subproblem 3
Set the factor '(3 + 5q)' equal to zero and attempt to solve: Simplifying 3 + 5q = 0 Solving 3 + 5q = 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 + 5q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5q = 0 + -3 5q = 0 + -3 Combine like terms: 0 + -3 = -3 5q = -3 Divide each side by '5'. q = -0.6 Simplifying q = -0.6Solution
q = {0, -2, -0.6}
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