2a(440a+440)=180=0

Solution for 2a(440a+440)=180=0 equation:

2a(440a+440)=180=0

We move all terms to the left:

2a(440a+440)-(180)=0

We multiply parentheses

880a^2+880a-180=0

a = 880; b = 880; c = -180;
Δ = b2-4ac
Δ = 8802-4·880·(-180)
Δ = 1408000
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:

$\sqrt{\Delta}=\sqrt{1408000}=\sqrt{25600*55}=\sqrt{25600}*\sqrt{55}=160\sqrt{55}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(880)-160\sqrt{55}}{2*880}=\frac{-880-160\sqrt{55}}{1760}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(880)+160\sqrt{55}}{2*880}=\frac{-880+160\sqrt{55}}{1760}
$