36b^2-12b-8=0

Solution for 36b^2-12b-8=0 equation:

36b^2-12b-8=0

a = 36; b = -12; c = -8;
Δ = b2-4ac
Δ = -122-4·36·(-8)
Δ = 1296
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1296}=36$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-36}{2*36}=\frac{-24}{72}
=-1/3
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+36}{2*36}=\frac{48}{72}
=2/3
$