-2(a+8)6a=36

Solution for -2(a+8)6a=36 equation:

-2(a+8)6a=36

We move all terms to the left:

-2(a+8)6a-(36)=0

We multiply parentheses

-12a^2-96a-36=0

a = -12; b = -96; c = -36;
Δ = b2-4ac
Δ = -962-4·(-12)·(-36)
Δ = 7488
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:

$\sqrt{\Delta}=\sqrt{7488}=\sqrt{576*13}=\sqrt{576}*\sqrt{13}=24\sqrt{13}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-96)-24\sqrt{13}}{2*-12}=\frac{96-24\sqrt{13}}{-24}
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-96)+24\sqrt{13}}{2*-12}=\frac{96+24\sqrt{13}}{-24}
$