270x^2-16*216*x-64*216=0

Solution for 270x^2-16*216*x-64*216=0 equation:

270x^2-16*216x-64*216=0

We add all the numbers together, and all the variables

270x^2-16*216x-13824=0

Wy multiply elements

270x^2-3456x-13824=0

a = 270; b = -3456; c = -13824;
Δ = b2-4ac
Δ = -34562-4·270·(-13824)
Δ = 26873856
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{26873856}=5184$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-3456)-5184}{2*270}=\frac{-1728}{540}
=-3+1/5
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-3456)+5184}{2*270}=\frac{8640}{540}
=16
$