6x-4=8(2+1/4x)

Solution for 6x-4=8(2+1/4x) equation:

6x-4=8(2+1/4x)

We move all terms to the left:

6x-4-(8(2+1/4x))=0


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

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

6x-(8(1/4x+2))-4=0

We multiply all the terms by the denominator


6x*4x-4*4x+2))-(8(1+2))=0

We add all the numbers together, and all the variables

6x*4x-4*4x+2))-(83)=0

We add all the numbers together, and all the variables

6x*4x-4*4x=0

Wy multiply elements

24x^2-16x=0

a = 24; b = -16; c = 0;
Δ = b2-4ac
Δ = -162-4·24·0
Δ = 256
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{256}=16$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-16)-16}{2*24}=\frac{0}{48}
=0
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-16)+16}{2*24}=\frac{32}{48}
=2/3
$