(X-8)(x-8)=196

Solution for (X-8)(x-8)=196 equation:

(X-8)(X-8)=196

We move all terms to the left:

(X-8)(X-8)-(196)=0

We multiply parentheses ..

(+X^2-8X-8X+64)-196=0

We get rid of parentheses

X^2-8X-8X+64-196=0

We add all the numbers together, and all the variables

X^2-16X-132=0

a = 1; b = -16; c = -132;
Δ = b2-4ac
Δ = -162-4·1·(-132)
Δ = 784
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{784}=28$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-28}{2*1}=\frac{-12}{2}
=-6
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+28}{2*1}=\frac{44}{2}
=22
$