30x^2-50x-120=0

Solution for 30x^2-50x-120=0 equation:

30x^2-50x-120=0

a = 30; b = -50; c = -120;
Δ = b2-4ac
Δ = -502-4·30·(-120)
Δ = 16900
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16900}=130$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-50)-130}{2*30}=\frac{-80}{60}
=-1+1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-50)+130}{2*30}=\frac{180}{60}
=3
$