-6=-8(a+4)8a

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Solution for -6=-8(a+4)8a equation:



-6=-8(a+4)8a
We move all terms to the left:
-6-(-8(a+4)8a)=0
We calculate terms in parentheses: -(-8(a+4)8a), so:
-8(a+4)8a
We multiply parentheses
-64a^2-256a
Back to the equation:
-(-64a^2-256a)
We get rid of parentheses
64a^2+256a-6=0
a = 64; b = 256; c = -6;
Δ = b2-4ac
Δ = 2562-4·64·(-6)
Δ = 67072
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:
$\sqrt{\Delta}=\sqrt{67072}=\sqrt{256*262}=\sqrt{256}*\sqrt{262}=16\sqrt{262}$
$a_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(256)-16\sqrt{262}}{2*64}=\frac{-256-16\sqrt{262}}{128} $
$a_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(256)+16\sqrt{262}}{2*64}=\frac{-256+16\sqrt{262}}{128} $

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