4x+2-x=3(x+1/2x)

Solution for 4x+2-x=3(x+1/2x) equation:

4x+2-x=3(x+1/2x)

We move all terms to the left:

4x+2-x-(3(x+1/2x))=0


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

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

4x-x-(3(+x+1/2x))+2=0

We add all the numbers together, and all the variables

3x-(3(+x+1/2x))+2=0

We multiply all the terms by the denominator


3x*2x))-(3(+x+2*2x))+1=0

We add all the numbers together, and all the variables

x+3x*2x))-(3(+2*2x))+1=0

Wy multiply elements

6x^2+x+4x=0

We add all the numbers together, and all the variables

6x^2+5x=0

a = 6; b = 5; c = 0;
Δ = b2-4ac
Δ = 52-4·6·0
Δ = 25
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{25}=5$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(5)-5}{2*6}=\frac{-10}{12}
=-5/6
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(5)+5}{2*6}=\frac{0}{12}
=0
$