0=4x^2-32x-210

Solution for 0=4x^2-32x-210 equation:

0=4x^2-32x-210

We move all terms to the left:

0-(4x^2-32x-210)=0

We add all the numbers together, and all the variables

-(4x^2-32x-210)=0

We get rid of parentheses

-4x^2+32x+210=0

a = -4; b = 32; c = +210;
Δ = b2-4ac
Δ = 322-4·(-4)·210
Δ = 4384
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:

$\sqrt{\Delta}=\sqrt{4384}=\sqrt{16*274}=\sqrt{16}*\sqrt{274}=4\sqrt{274}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(32)-4\sqrt{274}}{2*-4}=\frac{-32-4\sqrt{274}}{-8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(32)+4\sqrt{274}}{2*-4}=\frac{-32+4\sqrt{274}}{-8}
$