3*x^2-x-2160=0

Solution for 3*x^2-x-2160=0 equation:

3x^2-x-2160=0

We add all the numbers together, and all the variables

3x^2-1x-2160=0

a = 3; b = -1; c = -2160;
Δ = b2-4ac
Δ = -12-4·3·(-2160)
Δ = 25921
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25921}=161$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-161}{2*3}=\frac{-160}{6}
=-26+2/3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+161}{2*3}=\frac{162}{6}
=27
$