(2a)(8a-10)=180

Solution for (2a)(8a-10)=180 equation:

(2a)(8a-10)=180

We move all terms to the left:

(2a)(8a-10)-(180)=0

We multiply parentheses

16a^2-20a-180=0

a = 16; b = -20; c = -180;
Δ = b2-4ac
Δ = -202-4·16·(-180)
Δ = 11920
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:

$\sqrt{\Delta}=\sqrt{11920}=\sqrt{16*745}=\sqrt{16}*\sqrt{745}=4\sqrt{745}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-20)-4\sqrt{745}}{2*16}=\frac{20-4\sqrt{745}}{32}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-20)+4\sqrt{745}}{2*16}=\frac{20+4\sqrt{745}}{32}
$