-6x^2-126x-324=0

Solution for -6x^2-126x-324=0 equation:

-6x^2-126x-324=0

a = -6; b = -126; c = -324;
Δ = b2-4ac
Δ = -1262-4·(-6)·(-324)
Δ = 8100
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{8100}=90$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-126)-90}{2*-6}=\frac{36}{-12}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-126)+90}{2*-6}=\frac{216}{-12}
=-18
$