6x-4=12/2x-4

Solution for 6x-4=12/2x-4 equation:

6x-4=12/2x-4

We move all terms to the left:

6x-4-(12/2x-4)=0


Domain of the equation: 2x-4)!=0

x∈R


We get rid of parentheses

6x-12/2x+4-4=0

We multiply all the terms by the denominator


6x*2x+4*2x-4*2x-12=0

Wy multiply elements

12x^2+8x-8x-12=0

We add all the numbers together, and all the variables

12x^2-12=0

a = 12; b = 0; c = -12;
Δ = b2-4ac
Δ = 02-4·12·(-12)
Δ = 576
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{576}=24$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(0)-24}{2*12}=\frac{-24}{24}
=-1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(0)+24}{2*12}=\frac{24}{24}
=1
$