8b=13b^2

Solution for 8b=13b^2 equation:

8b=13b^2

We move all terms to the left:

8b-(13b^2)=0

determiningTheFunctionDomain
-13b^2+8b=0

a = -13; b = 8; c = 0;
Δ = b2-4ac
Δ = 82-4·(-13)·0
Δ = 64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{64}=8$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(8)-8}{2*-13}=\frac{-16}{-26}
=8/13
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(8)+8}{2*-13}=\frac{0}{-26}
=0
$