(X-1)(x-1)=504

Solution for (X-1)(x-1)=504 equation:

(X-1)(X-1)=504

We move all terms to the left:

(X-1)(X-1)-(504)=0

We multiply parentheses ..

(+X^2-1X-1X+1)-504=0

We get rid of parentheses

X^2-1X-1X+1-504=0

We add all the numbers together, and all the variables

X^2-2X-503=0

a = 1; b = -2; c = -503;
Δ = b2-4ac
Δ = -22-4·1·(-503)
Δ = 2016
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:

$\sqrt{\Delta}=\sqrt{2016}=\sqrt{144*14}=\sqrt{144}*\sqrt{14}=12\sqrt{14}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-2)-12\sqrt{14}}{2*1}=\frac{2-12\sqrt{14}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-2)+12\sqrt{14}}{2*1}=\frac{2+12\sqrt{14}}{2}
$