5(a+6)8a=0

Solution for 5(a+6)8a=0 equation:

5(a+6)8a=0

We multiply parentheses

40a^2+240a=0

a = 40; b = 240; c = 0;
Δ = b2-4ac
Δ = 2402-4·40·0
Δ = 57600
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{57600}=240$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(240)-240}{2*40}=\frac{-480}{80}
=-6
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(240)+240}{2*40}=\frac{0}{80}
=0
$