-14x^2-46x-12=0

Solution for -14x^2-46x-12=0 equation:

-14x^2-46x-12=0

a = -14; b = -46; c = -12;
Δ = b2-4ac
Δ = -462-4·(-14)·(-12)
Δ = 1444
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1444}=38$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-46)-38}{2*-14}=\frac{8}{-28}
=-2/7
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-46)+38}{2*-14}=\frac{84}{-28}
=-3
$