X(x-1)=32220

Solution for X(x-1)=32220 equation:

X(X-1)=32220

We move all terms to the left:

X(X-1)-(32220)=0

We multiply parentheses

X^2-1X-32220=0

a = 1; b = -1; c = -32220;
Δ = b2-4ac
Δ = -12-4·1·(-32220)
Δ = 128881
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{128881}=359$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-359}{2*1}=\frac{-358}{2}
=-179
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+359}{2*1}=\frac{360}{2}
=180
$