382=8x*x

Solution for 382=8x*x equation:

382=8x*x

We move all terms to the left:

382-(8x*x)=0

We add all the numbers together, and all the variables

-(+8x*x)+382=0

We get rid of parentheses

-8x*x+382=0

Wy multiply elements

-8x^2+382=0

a = -8; b = 0; c = +382;
Δ = b2-4ac
Δ = 02-4·(-8)·382
Δ = 12224
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:

$\sqrt{\Delta}=\sqrt{12224}=\sqrt{64*191}=\sqrt{64}*\sqrt{191}=8\sqrt{191}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-8\sqrt{191}}{2*-8}=\frac{0-8\sqrt{191}}{-16}
=-\frac{8\sqrt{191}}{-16}
=-\frac{\sqrt{191}}{-2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+8\sqrt{191}}{2*-8}=\frac{0+8\sqrt{191}}{-16}
=\frac{8\sqrt{191}}{-16}
=\frac{\sqrt{191}}{-2}
$