8x*8x=576

Solution for 8x*8x=576 equation:

8x*8x=576

We move all terms to the left:

8x*8x-(576)=0

Wy multiply elements

64x^2-576=0

a = 64; b = 0; c = -576;
Δ = b2-4ac
Δ = 02-4·64·(-576)
Δ = 147456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{147456}=384$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-384}{2*64}=\frac{-384}{128}
=-3
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+384}{2*64}=\frac{384}{128}
=3
$