(x-3)*(x-3)=528

Solution for (x-3)*(x-3)=528 equation:

(x-3)(x-3)=528

We move all terms to the left:

(x-3)(x-3)-(528)=0

We multiply parentheses ..

(+x^2-3x-3x+9)-528=0

We get rid of parentheses

x^2-3x-3x+9-528=0

We add all the numbers together, and all the variables

x^2-6x-519=0

a = 1; b = -6; c = -519;
Δ = b2-4ac
Δ = -62-4·1·(-519)
Δ = 2112
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:

$\sqrt{\Delta}=\sqrt{2112}=\sqrt{64*33}=\sqrt{64}*\sqrt{33}=8\sqrt{33}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-6)-8\sqrt{33}}{2*1}=\frac{6-8\sqrt{33}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-6)+8\sqrt{33}}{2*1}=\frac{6+8\sqrt{33}}{2}
$