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Simplifying 25q3 + 40q2 + 15q = 0 Reorder the terms: 15q + 40q2 + 25q3 = 0 Solving 15q + 40q2 + 25q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '5q'. 5q(3 + 8q + 5q2) = 0 Factor a trinomial. 5q((1 + 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 '(1 + q)' equal to zero and attempt to solve: Simplifying 1 + q = 0 Solving 1 + q = 0 Move all terms containing q to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + q = 0 + -1 q = 0 + -1 Combine like terms: 0 + -1 = -1 q = -1 Simplifying q = -1Subproblem 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, -1, -0.6}
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