6x2-24x-360=0

Solution for 6x2-24x-360=0 equation:

6x^2-24x-360=0

a = 6; b = -24; c = -360;
Δ = b2-4ac
Δ = -242-4·6·(-360)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-24)-96}{2*6}=\frac{-72}{12}
=-6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-24)+96}{2*6}=\frac{120}{12}
=10
$