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

Simple and best practice solution for 5/x-2-3/x+1=4/(x-2)(x+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 5/x-2-3/x+1=4/(x-2)(x+1) equation:


D( x )

x-2 = 0

x = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x = 0

x = 0

x in (-oo:0) U (0:2) U (2:+oo)

5/x-(3/x)-2+1 = (4/(x-2))*(x+1) // - (4/(x-2))*(x+1)

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

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

(-4*(x+1))/(x-2)+5/x-3/x-2+1 = 0

(-4*x*(x+1))/(x*(x-2))+(5*(x-2))/(x*(x-2))+(-3*(x-2))/(x*(x-2))+(-2*x*(x-2))/(x*(x-2))+(1*x*(x-2))/(x*(x-2)) = 0

5*(x-2)-4*x*(x+1)-3*(x-2)-2*x*(x-2)+1*x*(x-2) = 0

x^2-4*x^2-2*x^2+x-3*x+4*x-2*x-10+6 = 0

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

x^2-6*x^2+2*x-2*x-4 = 0

-5*x^2-4 = 0

(-5*x^2-4)/(x*(x-2)) = 0

(-5*x^2-4)/(x*(x-2)) = 0 // * x*(x-2)

-5*x^2-4 = 0

-5*x^2 = 4 // : -5

x^2 = -4/5

x belongs to the empty set

See similar equations:

| 6x(-10x)=-2 | | x*x-17x-18=0 | | 5.6x-1=4.6x | | 10p+9-11-p=20 | | x*x-17x-17=0 | | (7x+1)(x+4)=0 | | 5x(3a+4b-2)= | | ((2x^2)/3)(6/x) | | 2x/7-1/4=3x/8+1/5 | | 2=(k-7)/3 | | M+-16=-4 | | (r/2)+2r=7 | | x*x-x-20=0 | | x/3-x/12=x/4-1/3 | | r/2+2r=7 | | 28=-12-2x | | 12/x+3=2x | | x*x+9x-36=0 | | n/14=10 | | 3/5y+1/2=7/2 | | 15x-9x^2=4 | | 4x-8=4(x+7) | | J/2=3j+2.3 | | -16t*t-8t+120=0 | | 2.5x=3/15 | | 6x=11-5x | | 2x+1=2(x-1)+3 | | 5x-9x^2=4 | | -w^2+5w-3=0 | | x*x+4x-32=0 | | 4x+7/x+1=x+3 | | 10975=x^2+20x+50 |

Equations solver categories