Final answer to the problem
$c=\frac{\left(q+2\right)^{3q}\left(q-1\right)}{2\left(3-q\right)}$
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Solve for c Solve for q Find the discriminant Simplify Factor Factor by completing the square Find the integral Find the derivative Find the derivative using the definition Solve by quadratic formula (general formula) Find the roots Find break even points Find the discriminant Suggest another method or feature
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1
Factor the polynomial $\left(2q+4\right)$ by it's greatest common factor (GCF): $2$
$c=\frac{\left(q+2\right)^{\left(3q+1\right)}\left(q-1\right)}{2\left(3-q\right)\left(q+2\right)}$
2
Simplify the fraction $\frac{\left(q+2\right)^{\left(3q+1\right)}\left(q-1\right)}{2\left(3-q\right)\left(q+2\right)}$ by $q+2$
$c=\frac{\left(q+2\right)^{3q}\left(q-1\right)}{2\left(3-q\right)}$
Final answer to the problem
$c=\frac{\left(q+2\right)^{3q}\left(q-1\right)}{2\left(3-q\right)}$