240x^2-156x-180=0

Solution for 240x^2-156x-180=0 equation:

240x^2-156x-180=0

a = 240; b = -156; c = -180;
Δ = b2-4ac
Δ = -1562-4·240·(-180)
Δ = 197136
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{197136}=444$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-156)-444}{2*240}=\frac{-288}{480}
=-3/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-156)+444}{2*240}=\frac{600}{480}
=1+1/4
$