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

Simple and best practice solution for (3/x-5)=(-4/x+3)/(x-5)(x+3) 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 (3/x-5)=(-4/x+3)/(x-5)(x+3) equation: 


D( x )

x-5 = 0

x = 0

x-5 = 0

x-5 = 0

x-5 = 0 // + 5

x = 5

x = 0

x = 0

x in (-oo:0) U (0:5) U (5:+oo)

3/x-5 = ((3-4/x)/(x-5))*(x+3) // - ((3-4/x)/(x-5))*(x+3)

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

(-1*(3-4*x^-1)*(x+3))/(x-5)+3/x-5 = 0

(-1*x*(3-4*x^-1)*(x+3))/(x*(x-5))+(3*(x-5))/(x*(x-5))+(-5*x*(x-5))/(x*(x-5)) = 0

3*(x-5)-1*x*(3-4*x^-1)*(x+3)-5*x*(x-5) = 0

25*x-3*x^2-5*x^2-2*x-3 = 0

23*x-8*x^2-3 = 0

23*x-8*x^2-3 = 0

23*x-8*x^2-3 = 0

DELTA = 23^2-(-8*(-3)*4)

DELTA = 433

DELTA > 0

x = (433^(1/2)-23)/(-8*2) or x = (-433^(1/2)-23)/(-8*2)

x = (433^(1/2)-23)/(-16) or x = (433^(1/2)+23)/16

(x-((433^(1/2)-23)/(-16)))*(x-((433^(1/2)+23)/16)) = 0

((x-((433^(1/2)-23)/(-16)))*(x-((433^(1/2)+23)/16)))/(x*(x-5)) = 0

((x-((433^(1/2)-23)/(-16)))*(x-((433^(1/2)+23)/16)))/(x*(x-5)) = 0 // * x*(x-5)

(x-((433^(1/2)-23)/(-16)))*(x-((433^(1/2)+23)/16)) = 0

( x-((433^(1/2)+23)/16) )

x-((433^(1/2)+23)/16) = 0 // + (433^(1/2)+23)/16

x = (433^(1/2)+23)/16

( x-((433^(1/2)-23)/(-16)) )

x-((433^(1/2)-23)/(-16)) = 0 // + (433^(1/2)-23)/(-16)

x = (433^(1/2)-23)/(-16)

x in { (433^(1/2)+23)/16, (433^(1/2)-23)/(-16) }

See similar equations:

| 5(2x)=5(x+5) | | 6(x+6)=7(x-7) | | 5(x-2)=4(x+3) | | 9+6n=8n+9 | | 7f=84 | | x+3=2(x-6) | | 16x-0,82=38x-1,37 | | 4m=164 | | 6j=72 | | 5m-12=-13+4m | | 4m-12=-48+8m | | 4x^4+15x-13=0 | | (-2/3)x^2+44x-726 | | x=7y+17 | | x^2-10x+6y^2+11=0 | | (x-3)(3x+2)= | | 4x^2-10x=3 | | (4v-3)(v+5)= | | [(x+5)(x+5)]-[(x-5)(x-5)]=500 | | 4x(7x-3)= | | 2(-3x^2+6x+1)-2(4x^2-3x+1)= | | Y=-16x^2-2x | | -8x-7=81 | | 2x-4+x+2= | | 10u+7=16u+32-9 | | X-2+x-2= | | y=-3/2x+4 | | 2/1=0 | | 5x-2(x+5)=50-3x | | 25x^6-121y^4= | | 4x^2y*x^3*8xy= | | (5/3x-2)=(2/x+4) |

Equations solver categories