X2-22x-325=180

Solution for X2-22x-325=180 equation:

X2-22X-325=180

We move all terms to the left:

X2-22X-325-(180)=0

We add all the numbers together, and all the variables

X^2-22X-505=0

a = 1; b = -22; c = -505;
Δ = b2-4ac
Δ = -222-4·1·(-505)
Δ = 2504
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:

$\sqrt{\Delta}=\sqrt{2504}=\sqrt{4*626}=\sqrt{4}*\sqrt{626}=2\sqrt{626}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-22)-2\sqrt{626}}{2*1}=\frac{22-2\sqrt{626}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-22)+2\sqrt{626}}{2*1}=\frac{22+2\sqrt{626}}{2}
$