12x^2-116x-40=0

Solution for 12x^2-116x-40=0 equation:

12x^2-116x-40=0

a = 12; b = -116; c = -40;
Δ = b2-4ac
Δ = -1162-4·12·(-40)
Δ = 15376
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{15376}=124$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-116)-124}{2*12}=\frac{-8}{24}
=-1/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-116)+124}{2*12}=\frac{240}{24}
=10
$