X(y+44)=180

Solution for X(y+44)=180 equation:

X(X+44)=180

We move all terms to the left:

X(X+44)-(180)=0

We multiply parentheses

X^2+44X-180=0

a = 1; b = 44; c = -180;
Δ = b2-4ac
Δ = 442-4·1·(-180)
Δ = 2656
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:

$\sqrt{\Delta}=\sqrt{2656}=\sqrt{16*166}=\sqrt{16}*\sqrt{166}=4\sqrt{166}$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-4\sqrt{166}}{2*1}=\frac{-44-4\sqrt{166}}{2}
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+4\sqrt{166}}{2*1}=\frac{-44+4\sqrt{166}}{2}
$