X(x-36)=180

Solution for X(x-36)=180 equation:

X(X-36)=180

We move all terms to the left:

X(X-36)-(180)=0

We multiply parentheses

X^2-36X-180=0

a = 1; b = -36; c = -180;
Δ = b2-4ac
Δ = -362-4·1·(-180)
Δ = 2016
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:

$\sqrt{\Delta}=\sqrt{2016}=\sqrt{144*14}=\sqrt{144}*\sqrt{14}=12\sqrt{14}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-36)-12\sqrt{14}}{2*1}=\frac{36-12\sqrt{14}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-36)+12\sqrt{14}}{2*1}=\frac{36+12\sqrt{14}}{2}
$