-24x2-36x-12=0

Solution for -24x2-36x-12=0 equation:

-24x^2-36x-12=0

a = -24; b = -36; c = -12;
Δ = b2-4ac
Δ = -362-4·(-24)·(-12)
Δ = 144
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{144}=12$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-12}{2*-24}=\frac{24}{-48}
=-1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+12}{2*-24}=\frac{48}{-48}
=-1
$