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Simplifying 16q3 + -48q2 + 36q = 0 Reorder the terms: 36q + -48q2 + 16q3 = 0 Solving 36q + -48q2 + 16q3 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '4q'. 4q(9 + -12q + 4q2) = 0 Factor a trinomial. 4q((3 + -2q)(3 + -2q)) = 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 + -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 = 1.5Subproblem 3
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, 1.5}
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