-12x^2-46x+8=0

Solution for -12x^2-46x+8=0 equation:

-12x^2-46x+8=0

a = -12; b = -46; c = +8;
Δ = b2-4ac
Δ = -462-4·(-12)·8
Δ = 2500
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2500}=50$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-46)-50}{2*-12}=\frac{-4}{-24}
=1/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-46)+50}{2*-12}=\frac{96}{-24}
=-4
$