6x(4+1/3)=26

Solution for 6x(4+1/3)=26 equation:

6x(4+1/3)=26

We move all terms to the left:

6x(4+1/3)-(26)=0

We add all the numbers together, and all the variables

6x(1/3+4)-26=0

We multiply parentheses

6x^2+24x-26=0

a = 6; b = 24; c = -26;
Δ = b2-4ac
Δ = 242-4·6·(-26)
Δ = 1200
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

The end solution:

$\sqrt{\Delta}=\sqrt{1200}=\sqrt{400*3}=\sqrt{400}*\sqrt{3}=20\sqrt{3}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(24)-20\sqrt{3}}{2*6}=\frac{-24-20\sqrt{3}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(24)+20\sqrt{3}}{2*6}=\frac{-24+20\sqrt{3}}{12}
$