10c^2=25c

Solution for 10c^2=25c equation:

10c^2=25c

We move all terms to the left:

10c^2-(25c)=0

a = 10; b = -25; c = 0;
Δ = b2-4ac
Δ = -252-4·10·0
Δ = 625
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{625}=25$
$c_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-25)-25}{2*10}=\frac{0}{20}
=0
$
$c_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-25)+25}{2*10}=\frac{50}{20}
=2+1/2
$