9c2=24c

Solution for 9c2=24c equation:

9c^2=24c

We move all terms to the left:

9c^2-(24c)=0

a = 9; b = -24; c = 0;
Δ = b2-4ac
Δ = -242-4·9·0
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-24}{2*9}=\frac{0}{18}
=0
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+24}{2*9}=\frac{48}{18}
=2+2/3
$