8a^2=52a

Solution for 8a^2=52a equation:

8a^2=52a

We move all terms to the left:

8a^2-(52a)=0

a = 8; b = -52; c = 0;
Δ = b2-4ac
Δ = -522-4·8·0
Δ = 2704
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2704}=52$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-52)-52}{2*8}=\frac{0}{16}
=0
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-52)+52}{2*8}=\frac{104}{16}
=6+1/2
$