2(5b-1)3b=26

Solution for 2(5b-1)3b=26 equation:

2(5b-1)3b=26

We move all terms to the left:

2(5b-1)3b-(26)=0

We multiply parentheses

30b^2-6b-26=0

a = 30; b = -6; c = -26;
Δ = b2-4ac
Δ = -62-4·30·(-26)
Δ = 3156
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{3156}=\sqrt{4*789}=\sqrt{4}*\sqrt{789}=2\sqrt{789}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-2\sqrt{789}}{2*30}=\frac{6-2\sqrt{789}}{60}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+2\sqrt{789}}{2*30}=\frac{6+2\sqrt{789}}{60}
$