600/x-1200/2x+1=200

Solution for 600/x-1200/2x+1=200 equation:

600/x-1200/2x+1=200

We move all terms to the left:

600/x-1200/2x+1-(200)=0


Domain of the equation: x!=0

x∈R



Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R


We add all the numbers together, and all the variables

600/x-1200/2x-199=0

We calculate fractions


1200x/2x^2+(-1200x)/2x^2-199=0

We multiply all the terms by the denominator


1200x+(-1200x)-199*2x^2=0

Wy multiply elements

-398x^2+1200x+(-1200x)=0

We get rid of parentheses

-398x^2+1200x-1200x=0

We add all the numbers together, and all the variables

-398x^2=0

a = -398; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-398)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-796}=0$