4/8x+2=6x

Solution for 4/8x+2=6x equation:

4/8x+2=6x

We move all terms to the left:

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


Domain of the equation: 8x!=0

x!=0/8

x!=0

x∈R


We add all the numbers together, and all the variables

-6x+4/8x+2=0

We multiply all the terms by the denominator


-6x*8x+2*8x+4=0

Wy multiply elements

-48x^2+16x+4=0

a = -48; b = 16; c = +4;
Δ = b2-4ac
Δ = 162-4·(-48)·4
Δ = 1024
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{1024}=32$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(16)-32}{2*-48}=\frac{-48}{-96}
=1/2
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(16)+32}{2*-48}=\frac{16}{-96}
=-1/6
$