x/3x+2=5x/2x+1

Solution for x/3x+2=5x/2x+1 equation:

x/3x+2=5x/2x+1

We move all terms to the left:

x/3x+2-(5x/2x+1)=0


Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R



Domain of the equation: 2x+1)!=0

x∈R


We get rid of parentheses

x/3x-5x/2x-1+2=0

We calculate fractions


(-15x^2)/6x^2+2x^2/6x^2-1+2=0

We add all the numbers together, and all the variables

(-15x^2)/6x^2+2x^2/6x^2+1=0

We multiply all the terms by the denominator


(-15x^2)+2x^2+1*6x^2=0

We add all the numbers together, and all the variables

2x^2+(-15x^2)+1*6x^2=0

Wy multiply elements

2x^2+(-15x^2)+6x^2=0

We get rid of parentheses

2x^2-15x^2+6x^2=0

We add all the numbers together, and all the variables

-7x^2=0

a = -7; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·(-7)·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{-14}=0$