(x-3)(x-1)=528

Solution for (x-3)(x-1)=528 equation:

(x-3)(x-1)=528

We move all terms to the left:

(x-3)(x-1)-(528)=0

We multiply parentheses ..

(+x^2-1x-3x+3)-528=0

We get rid of parentheses

x^2-1x-3x+3-528=0

We add all the numbers together, and all the variables

x^2-4x-525=0

a = 1; b = -4; c = -525;
Δ = b2-4ac
Δ = -42-4·1·(-525)
Δ = 2116
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2116}=46$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-4)-46}{2*1}=\frac{-42}{2}
=-21
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-4)+46}{2*1}=\frac{50}{2}
=25
$