(x-6)(x-6)=4

Solution for (x-6)(x-6)=4 equation:

(x-6)(x-6)=4

We move all terms to the left:

(x-6)(x-6)-(4)=0

We multiply parentheses ..

(+x^2-6x-6x+36)-4=0

We get rid of parentheses

x^2-6x-6x+36-4=0

We add all the numbers together, and all the variables

x^2-12x+32=0

a = 1; b = -12; c = +32;
Δ = b2-4ac
Δ = -122-4·1·32
Δ = 16
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{16}=4$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-12)-4}{2*1}=\frac{8}{2}
=4
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-12)+4}{2*1}=\frac{16}{2}
=8
$