(X-2)180;x=8

Solution for (X-2)180;x=8 equation:

(X-2)180X=8

We move all terms to the left:

(X-2)180X-(8)=0

We multiply parentheses

180X^2-360X-8=0

a = 180; b = -360; c = -8;
Δ = b2-4ac
Δ = -3602-4·180·(-8)
Δ = 135360
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:

$\sqrt{\Delta}=\sqrt{135360}=\sqrt{576*235}=\sqrt{576}*\sqrt{235}=24\sqrt{235}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-360)-24\sqrt{235}}{2*180}=\frac{360-24\sqrt{235}}{360}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-360)+24\sqrt{235}}{2*180}=\frac{360+24\sqrt{235}}{360}
$