6-8(a2)=8a

Solution for 6-8(a2)=8a equation:

6-8(a2)=8a

We move all terms to the left:

6-8(a2)-(8a)=0

We add all the numbers together, and all the variables

-8a^2-8a+6=0

a = -8; b = -8; c = +6;
Δ = b2-4ac
Δ = -82-4·(-8)·6
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{-(-8)-16}{2*-8}=\frac{-8}{-16}
=1/2
$
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-8)+16}{2*-8}=\frac{24}{-16}
=-1+1/2
$