44b^2-108b-72=0

Solution for 44b^2-108b-72=0 equation:

44b^2-108b-72=0

a = 44; b = -108; c = -72;
Δ = b2-4ac
Δ = -1082-4·44·(-72)
Δ = 24336
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{24336}=156$
$b_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-108)-156}{2*44}=\frac{-48}{88}
=-6/11
$
$b_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-108)+156}{2*44}=\frac{264}{88}
=3
$