-12x^2-44x-40=0

Solution for -12x^2-44x-40=0 equation:

-12x^2-44x-40=0

a = -12; b = -44; c = -40;
Δ = b2-4ac
Δ = -442-4·(-12)·(-40)
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-44)-4}{2*-12}=\frac{40}{-24}
=-1+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-44)+4}{2*-12}=\frac{48}{-24}
=-2
$