(x+22)(x+22)=360

Solution for (x+22)(x+22)=360 equation:

(x+22)(x+22)=360

We move all terms to the left:

(x+22)(x+22)-(360)=0

We multiply parentheses ..

(+x^2+22x+22x+484)-360=0

We get rid of parentheses

x^2+22x+22x+484-360=0

We add all the numbers together, and all the variables

x^2+44x+124=0

a = 1; b = 44; c = +124;
Δ = b2-4ac
Δ = 442-4·1·124
Δ = 1440
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:

$\sqrt{\Delta}=\sqrt{1440}=\sqrt{144*10}=\sqrt{144}*\sqrt{10}=12\sqrt{10}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(44)-12\sqrt{10}}{2*1}=\frac{-44-12\sqrt{10}}{2}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(44)+12\sqrt{10}}{2*1}=\frac{-44+12\sqrt{10}}{2}
$