24/6x=4x

Solution for 24/6x=4x equation:

24/6x=4x

We move all terms to the left:

24/6x-(4x)=0


Domain of the equation: 6x!=0

x!=0/6

x!=0

x∈R


We add all the numbers together, and all the variables

-4x+24/6x=0

We multiply all the terms by the denominator


-4x*6x+24=0

Wy multiply elements

-24x^2+24=0

a = -24; b = 0; c = +24;
Δ = b2-4ac
Δ = 02-4·(-24)·24
Δ = 2304
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{2304}=48$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-48}{2*-24}=\frac{-48}{-48}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+48}{2*-24}=\frac{48}{-48}
=-1
$