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Simplifying 24q2 + -16q = 0 Reorder the terms: -16q + 24q2 = 0 Solving -16q + 24q2 = 0 Solving for variable 'q'. Factor out the Greatest Common Factor (GCF), '8q'. 8q(-2 + 3q) = 0 Ignore the factor 8.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 + 3q)' equal to zero and attempt to solve: Simplifying -2 + 3q = 0 Solving -2 + 3q = 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 + 3q = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3q = 0 + 2 3q = 0 + 2 Combine like terms: 0 + 2 = 2 3q = 2 Divide each side by '3'. q = 0.6666666667 Simplifying q = 0.6666666667Solution
q = {0, 0.6666666667}
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