a(2)+2(2a)=360

Solution for a(2)+2(2a)=360 equation:

a(2)+2(2a)=360

We move all terms to the left:

a(2)+2(2a)-(360)=0

We add all the numbers together, and all the variables

a^2+22a-360=0

a = 1; b = 22; c = -360;
Δ = b2-4ac
Δ = 222-4·1·(-360)
Δ = 1924
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1924}=\sqrt{4*481}=\sqrt{4}*\sqrt{481}=2\sqrt{481}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(22)-2\sqrt{481}}{2*1}=\frac{-22-2\sqrt{481}}{2}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(22)+2\sqrt{481}}{2*1}=\frac{-22+2\sqrt{481}}{2}
$