2(6-x)4x=x

Solution for 2(6-x)4x=x equation:

2(6-x)4x=x

We move all terms to the left:

2(6-x)4x-(x)=0

We add all the numbers together, and all the variables

2(-1x+6)4x-x=0

We add all the numbers together, and all the variables

-1x+2(-1x+6)4x=0

We multiply parentheses

-8x^2-1x+48x=0

We add all the numbers together, and all the variables

-8x^2+47x=0

a = -8; b = 47; c = 0;
Δ = b2-4ac
Δ = 472-4·(-8)·0
Δ = 2209
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2209}=47$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(47)-47}{2*-8}=\frac{-94}{-16}
=5+7/8
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(47)+47}{2*-8}=\frac{0}{-16}
=0
$