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

Simple and best practice solution for (2x)/(x-3)+5/(x-1)=1 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 (2x)/(x-3)+5/(x-1)=1 equation:


D( x )

x-3 = 0

x-1 = 0

x-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:1) U (1:3) U (3:+oo)

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

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

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

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

2*x^2-x^2+3*x+4*x-15-3 = 0

x^2+7*x-18 = 0

x^2+7*x-18 = 0

x^2+7*x-18 = 0

DELTA = 7^2-(-18*1*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-7)/(1*2) or x = (-121^(1/2)-7)/(1*2)

x = 2 or x = -9

(x+9)*(x-2) = 0

((x+9)*(x-2))/((x-3)*(x-1)) = 0

((x+9)*(x-2))/((x-3)*(x-1)) = 0 // * (x-3)*(x-1)

(x+9)*(x-2) = 0

( x+9 )

x+9 = 0 // - 9

x = -9

( x-2 )

x-2 = 0 // + 2

x = 2

x in { -9, 2 }

See similar equations:

| (2x)/(x+2)=10000 | | (2x)/(5)-(x)/(3)=4 | | (2x)/(5)+(x)/(2)=2x+(2)/(5) | | (2x)/(2-x)=91 | | (2x)+12=4/5 | | (2w-3)/5=w/3 | | (2w+8)/7=w-1 | | (2w+3)/5=(w-2)/3 | | (2t)/15-(3t-5)/20=(t)/5-(3) | | (2r+16)/6=(2r-12)/2 | | 2t+5=5t+4 | | (2q+3/3)+(3q-4/6)=(q-2/2) | | 9y+8x=-72 | | (2p-3/7)=1 | | x/-4=11 | | (2p+7)-(6p+11)/6p+5=-10/23 | | 3x+4=2x-8 | | 8m-7=m+9 | | (2P)/(100)=0 | | (2n-4)/5=(3n+3)/10 | | (2n-3)/(4)=-5 | | (2n+8)/3=(n+7)/2 | | 6x-27=3x+9 | | (2n+6)/2-3=6 | | (2n+3)/4=(5n-3)/6 | | (2n+12/4-3n)/(8n-10/9n-12)=0 | | (2n+1)/(n+2)=5/4 | | (2m/3)+17=20 | | (2m-7)/3=25 | | (2m+6/3)/(3m+9/6)=0 | | (2L/52)+9=6 | | (2k-3)/-5=7 |

Equations solver categories