3x+5/x+4=2x+4/x+2

Solution for 3x+5/x+4=2x+4/x+2 equation:

3x+5/x+4=2x+4/x+2

We move all terms to the left:

3x+5/x+4-(2x+4/x+2)=0


Domain of the equation: x!=0

x∈R



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

x∈R


We get rid of parentheses

3x+5/x-2x-4/x-2+4=0

We multiply all the terms by the denominator


3x*x-2x*x-2*x+4*x+5-4=0

We add all the numbers together, and all the variables

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

Wy multiply elements

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

We add all the numbers together, and all the variables

x^2+2x+1=0

a = 1; b = 2; c = +1;
Δ = b2-4ac
Δ = 22-4·1·1
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{-2}{2}=-1$