6b=8b^2

Solution for 6b=8b^2 equation:

6b=8b^2

We move all terms to the left:

6b-(8b^2)=0

determiningTheFunctionDomain
-8b^2+6b=0

a = -8; b = 6; c = 0;
Δ = b2-4ac
Δ = 62-4·(-8)·0
Δ = 36
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{36}=6$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(6)-6}{2*-8}=\frac{-12}{-16}
=3/4
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(6)+6}{2*-8}=\frac{0}{-16}
=0
$