72d^2-54d-180=0

Solution for 72d^2-54d-180=0 equation:

72d^2-54d-180=0

a = 72; b = -54; c = -180;
Δ = b2-4ac
Δ = -542-4·72·(-180)
Δ = 54756
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{54756}=234$
$d_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-54)-234}{2*72}=\frac{-180}{144}
=-1+1/4
$
$d_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-54)+234}{2*72}=\frac{288}{144}
=2
$