6(x+8)8x+1)=0

Solution for 6(x+8)8x+1)=0 equation:

6(x+8)8x+1)=0

We add all the numbers together, and all the variables

6(x+8)8x=0

We multiply parentheses

48x^2+384x=0

a = 48; b = 384; c = 0;
Δ = b2-4ac
Δ = 3842-4·48·0
Δ = 147456
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{147456}=384$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(384)-384}{2*48}=\frac{-768}{96}
=-8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(384)+384}{2*48}=\frac{0}{96}
=0
$