4(x-8)(x-8)=576

Solution for 4(x-8)(x-8)=576 equation:

4(x-8)(x-8)=576

We move all terms to the left:

4(x-8)(x-8)-(576)=0

We multiply parentheses ..

4(+x^2-8x-8x+64)-576=0

We multiply parentheses

4x^2-32x-32x+256-576=0

We add all the numbers together, and all the variables

4x^2-64x-320=0

a = 4; b = -64; c = -320;
Δ = b2-4ac
Δ = -642-4·4·(-320)
Δ = 9216
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9216}=96$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-64)-96}{2*4}=\frac{-32}{8}
=-4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-64)+96}{2*4}=\frac{160}{8}
=20
$