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

Simple and best practice solution for 2/(x-4)(x-2)=1/x-4+2/x-2 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-4)(x-2)=1/x-4+2/x-2 equation: 


D( x )

x = 0

x-4 = 0

x = 0

x = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:0) U (0:4) U (4:+oo)

(2/(x-4))*(x-2) = 1/x+2/x-4-2 // - 1/x+2/x-4-2

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

(2/(x-4))*(x-2)-x^-1-2*x^-1+2+4 = 0

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

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

2*x*(x-2)-1*(x-4)-2*(x-4)+2*x*(x-4)+4*x*(x-4) = 0

2*x^2+2*x^2+4*x^2-5*x-2*x-8*x-16*x+4+8 = 0

2*x^2+2*x^2+4*x^2-7*x-8*x-16*x+12 = 0

4*x^2+4*x^2-15*x-16*x+12 = 0

8*x^2-31*x+12 = 0

8*x^2-31*x+12 = 0

8*x^2-31*x+12 = 0

DELTA = (-31)^2-(4*8*12)

DELTA = 577

DELTA > 0

x = (577^(1/2)+31)/(2*8) or x = (31-577^(1/2))/(2*8)

x = (577^(1/2)+31)/16 or x = (31-577^(1/2))/16

(x-((31-577^(1/2))/16))*(x-((577^(1/2)+31)/16)) = 0

((x-((31-577^(1/2))/16))*(x-((577^(1/2)+31)/16)))/(x*(x-4)) = 0

((x-((31-577^(1/2))/16))*(x-((577^(1/2)+31)/16)))/(x*(x-4)) = 0 // * x*(x-4)

(x-((31-577^(1/2))/16))*(x-((577^(1/2)+31)/16)) = 0

( x-((31-577^(1/2))/16) )

x-((31-577^(1/2))/16) = 0 // + (31-577^(1/2))/16

x = (31-577^(1/2))/16

( x-((577^(1/2)+31)/16) )

x-((577^(1/2)+31)/16) = 0 // + (577^(1/2)+31)/16

x = (577^(1/2)+31)/16

x in { (31-577^(1/2))/16, (577^(1/2)+31)/16 }

See similar equations:

| (-3)(e+4)= | | 5(x-4)=3x-4 | | 3(1.5)+y=4 | | 9.96=2.37+0.60x | | 6x+150=8x+190 | | -2y/5=4 | | (4x-5)(2x-1)= | | 3x^6y^4+27x^4y^3+24xy= | | 1y/3=4 | | -7.5r=31/3 | | 41/6=-31/3 | | 8x^6y^4+72x^4y^3+64xy= | | -a/1.6=-31/3 | | 2X+5Y+9=0 | | 7(x+4)=6x+24 | | 3-5x=-37 | | 1x+25=2x | | 5x+17=32 | | 8+3y=26 | | 4x*8x=3x*4 | | 75=6x-3 | | 8=8x-8 | | 11+7x=60 | | 1/x-15=-9 | | 41=9x-4 | | 12-9x=-114 | | x^4-21x^2=0 | | x/5=-6+3 | | 8-4x=-44 | | 5-5b=45 | | 1l+2s=35.45 | | 7(5g+6)/2+56 |

Equations solver categories