2/x+(2x-3)/(x-2)+(2-x^2)/(x^2-2x)=0

Simple and best practice solution for 2/x+(2x-3)/(x-2)+(2-x^2)/(x^2-2x)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 2/x+(2x-3)/(x-2)+(2-x^2)/(x^2-2x)=0 equation: 



2/x+(2x-3)/(x-2)+(2-x^2)/(x^2-2x)=0



Domain of the equation: (x^2-2x)!=0

x∈R





Domain of the equation: x!=0

x∈R





Domain of the equation: (x-2)!=0

We move all terms containing x to the left, all other terms to the right

x!=2

x∈R



We calculate fractions


((2-x^2)*x*(x-2))/((x^2-2x)*x*(x-2))+(2*(x^2-2x)*(x-2))/((x^2-2x)*x*(x-2))+((2x-3)*(x^2-2x)*x)/((x^2-2x)*x*(x-2))=0



We calculate terms in parentheses: +((2-x^2)*x*(x-2))/((x^2-2x)*x*(x-2)), so:

(2-x^2)*x*(x-2))/((x^2-2x)*x*(x-2)

We multiply all the terms by the denominator


(2-x^2)*x*(x-2))

Back to the equation:

+((2-x^2)*x*(x-2)))





We calculate terms in parentheses: +(2*(x^2-2x)*(x-2))/((x^2-2x)*x*(x-2)), so:

2*(x^2-2x)*(x-2))/((x^2-2x)*x*(x-2)

We multiply all the terms by the denominator


2*(x^2-2x)*(x-2))

Back to the equation:

+(2*(x^2-2x)*(x-2)))





We calculate terms in parentheses: +((2x-3)*(x^2-2x)*x)/((x^2-2x)*x*(x-2)), so:

(2x-3)*(x^2-2x)*x)/((x^2-2x)*x*(x-2)

We multiply all the terms by the denominator


(2x-3)*(x^2-2x)*x)

Back to the equation:

+((2x-3)*(x^2-2x)*x))

See similar equations:

| 0.2^x=4 | | 9(j+63)=45 | | 2s+s-5+s+13=180 | | x2-5x-2=0 | | 3x^2-96x=0 | | 3x+3(4x-3)=96 | | 6(-x/6)=1 | | 6x-2x+11=5 | | 0.4y+2.9=1.5 | | 4^(1+2x)=1024 | | x2-9x-5=0 | | 8v+2-6v=9+v | | 4(3x+2)-11=8 | | 2+6g=11=3g | | 5(x—3)+22=57 | | -9=-4w | | 3x+8-x=2x+1 | | -12=-3/5v | | x2+2x-360=0 | | t−23.5=−39.7 | | -3(q+38)=-21 | | 2(x-4)=4x3x+6 | | -4+2k=-6(-6-2k) | | 4x+7=2x+8-5 | | (3x-13)+(x-3)=180 | | (4n+17)+(3n+16)=180 | | x−(−7)=5 | | 3x^2+1=73 | | 5x2-10x=0 | | 5x-8+1=-4x-7+7x | | 10=6=2u | | 162-12y/24+4y=43 |

Equations solver categories