12x^2-156,8x-156,8=0

Solution for 12x^2-156,8x-156,8=0 equation:

12x^2-156.8x-156.8=0

a = 12; b = -156.8; c = -156.8;
Δ = b2-4ac
Δ = -156.82-4·12·(-156.8)
Δ = 32112.64
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-156.8)-\sqrt{32112.64}}{2*12}=\frac{156.8-\sqrt{32112.64}}{24}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-156.8)+\sqrt{32112.64}}{2*12}=\frac{156.8+\sqrt{32112.64}}{24}
$