36x^2-88x-60=0

Solution for 36x^2-88x-60=0 equation:

36x^2-88x-60=0

a = 36; b = -88; c = -60;
Δ = b2-4ac
Δ = -882-4·36·(-60)
Δ = 16384
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16384}=128$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-88)-128}{2*36}=\frac{-40}{72}
=-5/9
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-88)+128}{2*36}=\frac{216}{72}
=3
$