8a(18a+2)=0

Solution for 8a(18a+2)=0 equation:

8a(18a+2)=0

We multiply parentheses

144a^2+16a=0

a = 144; b = 16; c = 0;
Δ = b2-4ac
Δ = 162-4·144·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-16}{2*144}=\frac{-32}{288}
=-1/9
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+16}{2*144}=\frac{0}{288}
=0
$