1-2x=x+4-6x/x=3

Solution for 1-2x=x+4-6x/x=3 equation:

1-2x=x+4-6x/x=3

We move all terms to the left:

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


Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R


We add all the numbers together, and all the variables

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

We get rid of parentheses

-2x-x+6x/x-4+1=0

We multiply all the terms by the denominator


-2x*x-x*x+6x-4*x+1*x=0

We add all the numbers together, and all the variables

3x-2x*x-x*x=0

Wy multiply elements

-2x^2-1x^2+3x=0

We add all the numbers together, and all the variables

-3x^2+3x=0

a = -3; b = 3; c = 0;
Δ = b2-4ac
Δ = 32-4·(-3)·0
Δ = 9
The delta value is higher than zero, so the equation has two solutions
We use following formulas to calculate our solutions:
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}$

$\sqrt{\Delta}=\sqrt{9}=3$
$x_{1}=\frac{-b-\sqrt{\Delta}}{2a}=\frac{-(3)-3}{2*-3}=\frac{-6}{-6}
=1
$
$x_{2}=\frac{-b+\sqrt{\Delta}}{2a}=\frac{-(3)+3}{2*-3}=\frac{0}{-6}
=0
$