5(2b-1)6b=2

Solution for 5(2b-1)6b=2 equation:

5(2b-1)6b=2

We move all terms to the left:

5(2b-1)6b-(2)=0

We multiply parentheses

60b^2-30b-2=0

a = 60; b = -30; c = -2;
Δ = b2-4ac
Δ = -302-4·60·(-2)
Δ = 1380
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:

$\sqrt{\Delta}=\sqrt{1380}=\sqrt{4*345}=\sqrt{4}*\sqrt{345}=2\sqrt{345}$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-30)-2\sqrt{345}}{2*60}=\frac{30-2\sqrt{345}}{120}
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-30)+2\sqrt{345}}{2*60}=\frac{30+2\sqrt{345}}{120}
$