464=8x^2

Solution for 464=8x^2 equation:

464=8x^2

We move all terms to the left:

464-(8x^2)=0

a = -8; b = 0; c = +464;
Δ = b2-4ac
Δ = 02-4·(-8)·464
Δ = 14848
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:

$\sqrt{\Delta}=\sqrt{14848}=\sqrt{256*58}=\sqrt{256}*\sqrt{58}=16\sqrt{58}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-16\sqrt{58}}{2*-8}=\frac{0-16\sqrt{58}}{-16}
=-\frac{16\sqrt{58}}{-16}
=-\frac{\sqrt{58}}{-1}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+16\sqrt{58}}{2*-8}=\frac{0+16\sqrt{58}}{-16}
=\frac{16\sqrt{58}}{-16}
=\frac{\sqrt{58}}{-1}
$