180=2a(a+10)44

Solution for 180=2a(a+10)44 equation:

180=2a(a+10)44

We move all terms to the left:

180-(2a(a+10)44)=0


We calculate terms in parentheses: -(2a(a+10)44), so:

2a(a+10)44

We multiply parentheses

88a^2+880a

Back to the equation:

-(88a^2+880a)


We get rid of parentheses

-88a^2-880a+180=0

a = -88; b = -880; c = +180;
Δ = b2-4ac
Δ = -8802-4·(-88)·180
Δ = 837760
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:

$\sqrt{\Delta}=\sqrt{837760}=\sqrt{64*13090}=\sqrt{64}*\sqrt{13090}=8\sqrt{13090}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-880)-8\sqrt{13090}}{2*-88}=\frac{880-8\sqrt{13090}}{-176}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-880)+8\sqrt{13090}}{2*-88}=\frac{880+8\sqrt{13090}}{-176}
$