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

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

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

We move all terms to the left:

x+2/2x-x-3/3x-(-1/4)=0


Domain of the equation: 2x!=0

x!=0/2

x!=0

x∈R



Domain of the equation: 3x!=0

x!=0/3

x!=0

x∈R


We add all the numbers together, and all the variables

2/2x-3/3x-(-1/4)=0

We get rid of parentheses

2/2x-3/3x+1/4=0

We calculate fractions


18x^2/96x^2+96x/96x^2+(-96x)/96x^2=0

We multiply all the terms by the denominator


18x^2+96x+(-96x)=0

We get rid of parentheses

18x^2+96x-96x=0

We add all the numbers together, and all the variables

18x^2=0

a = 18; b = 0; c = 0;
Δ = b2-4ac
Δ = 02-4·18·0
Δ = 0
Delta is equal to zero, so there is only one solution to the equation

                              Stosujemy wzór:
$x=\frac{-b}{2a}=\frac{0}{36}=0$