15x^2-6x-2160=0

Solution for 15x^2-6x-2160=0 equation:

15x^2-6x-2160=0

a = 15; b = -6; c = -2160;
Δ = b2-4ac
Δ = -62-4·15·(-2160)
Δ = 129636
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{129636}=\sqrt{36*3601}=\sqrt{36}*\sqrt{3601}=6\sqrt{3601}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-6\sqrt{3601}}{2*15}=\frac{6-6\sqrt{3601}}{30}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+6\sqrt{3601}}{2*15}=\frac{6+6\sqrt{3601}}{30}
$