(8x*8x)=578

Solution for (8x*8x)=578 equation:

(8x*8x)=578

We move all terms to the left:

(8x*8x)-(578)=0

We add all the numbers together, and all the variables

(+8x*8x)-578=0

We get rid of parentheses

8x*8x-578=0

Wy multiply elements

64x^2-578=0

a = 64; b = 0; c = -578;
Δ = b2-4ac
Δ = 02-4·64·(-578)
Δ = 147968
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:

$\sqrt{\Delta}=\sqrt{147968}=\sqrt{73984*2}=\sqrt{73984}*\sqrt{2}=272\sqrt{2}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-272\sqrt{2}}{2*64}=\frac{0-272\sqrt{2}}{128}
=-\frac{272\sqrt{2}}{128}
=-\frac{17\sqrt{2}}{8}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+272\sqrt{2}}{2*64}=\frac{0+272\sqrt{2}}{128}
=\frac{272\sqrt{2}}{128}
=\frac{17\sqrt{2}}{8}
$