12x^2-76x-160=0

Solution for 12x^2-76x-160=0 equation:

12x^2-76x-160=0

a = 12; b = -76; c = -160;
Δ = b2-4ac
Δ = -762-4·12·(-160)
Δ = 13456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{13456}=116$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-76)-116}{2*12}=\frac{-40}{24}
=-1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-76)+116}{2*12}=\frac{192}{24}
=8
$