x*2=x/2x=

Solution for x*2=x/2x= equation:

X*2=X/2X=

We move all terms to the left:

X*2-(X/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

X*2-(+X/2X)=0

Wy multiply elements

2X-(+X/2X)=0

We get rid of parentheses

2X-X/2X=0

We multiply all the terms by the denominator


2X*2X-X=0

We add all the numbers together, and all the variables

-1X+2X*2X=0

Wy multiply elements

4X^2-1X=0

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

$\sqrt{\Delta}=\sqrt{1}=1$
$X_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(-1)-1}{2*4}=\frac{0}{8}
=0
$
$X_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(-1)+1}{2*4}=\frac{2}{8}
=1/4
$