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Simplifying 28q3 + 88q2 + 12q = 0 Reorder the terms: 12q + 88q2 + 28q3 = 0 Solving 12q + 88q2 + 28q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '4q'. 4q(3 + 22q + 7q2) = 0 Factor a trinomial. 4q((3 + q)(1 + 7q)) = 0 Ignore the factor 4.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 '(3 + q)' equal to zero and attempt to solve: Simplifying 3 + q = 0 Solving 3 + q = 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 + q = 0 + -3 Combine like terms: 3 + -3 = 0 0 + q = 0 + -3 q = 0 + -3 Combine like terms: 0 + -3 = -3 q = -3 Simplifying q = -3Subproblem 3
Set the factor '(1 + 7q)' equal to zero and attempt to solve: Simplifying 1 + 7q = 0 Solving 1 + 7q = 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 + 7q = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7q = 0 + -1 7q = 0 + -1 Combine like terms: 0 + -1 = -1 7q = -1 Divide each side by '7'. q = -0.1428571429 Simplifying q = -0.1428571429Solution
q = {0, -3, -0.1428571429}
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