12b^2-30b=b

Solution for 12b^2-30b=b equation:

12b^2-30b=b

We move all terms to the left:

12b^2-30b-(b)=0

We add all the numbers together, and all the variables

12b^2-31b=0

a = 12; b = -31; c = 0;
Δ = b2-4ac
Δ = -312-4·12·0
Δ = 961
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{961}=31$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-31)-31}{2*12}=\frac{0}{24}
=0
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-31)+31}{2*12}=\frac{62}{24}
=2+7/12
$