15b^2-32b-7=0

Solution for 15b^2-32b-7=0 equation:

15b^2-32b-7=0

a = 15; b = -32; c = -7;
Δ = b2-4ac
Δ = -322-4·15·(-7)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-32)-38}{2*15}=\frac{-6}{30}
=-1/5
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-32)+38}{2*15}=\frac{70}{30}
=2+1/3
$