(6+x)*6x=4

Solution for (6+x)*6x=4 equation:

(6+x)*6x=4

We move all terms to the left:

(6+x)*6x-(4)=0

We add all the numbers together, and all the variables

(x+6)*6x-4=0

We multiply parentheses

6x^2+36x-4=0

a = 6; b = 36; c = -4;
Δ = b2-4ac
Δ = 362-4·6·(-4)
Δ = 1392
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:

$\sqrt{\Delta}=\sqrt{1392}=\sqrt{16*87}=\sqrt{16}*\sqrt{87}=4\sqrt{87}$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(36)-4\sqrt{87}}{2*6}=\frac{-36-4\sqrt{87}}{12}
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(36)+4\sqrt{87}}{2*6}=\frac{-36+4\sqrt{87}}{12}
$