4/(x-1)=-6+(5/(x+2))

Simple and best practice solution for 4/(x-1)=-6+(5/(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 4/(x-1)=-6+(5/(x+2)) equation: 


D( x )

x+2 = 0

x-1 = 0

x+2 = 0

x+2 = 0

x+2 = 0 // - 2

x = -2

x-1 = 0

x-1 = 0

x-1 = 0 // + 1

x = 1

x in (-oo:-2) U (-2:1) U (1:+oo)

4/(x-1) = 5/(x+2)-6 // - 5/(x+2)-6

4/(x-1)-(5/(x+2))+6 = 0

4/(x-1)-5*(x+2)^-1+6 = 0

4/(x-1)-5/(x+2)+6 = 0

(4*(x+2))/((x-1)*(x+2))+(-5*(x-1))/((x-1)*(x+2))+(6*(x-1)*(x+2))/((x-1)*(x+2)) = 0

4*(x+2)-5*(x-1)+6*(x-1)*(x+2) = 0

6*x^2-x+6*x-12+13 = 0

6*x^2+5*x+1 = 0

6*x^2+5*x+1 = 0

6*x^2+5*x+1 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

x = (1^(1/2)-5)/(2*6) or x = (-1^(1/2)-5)/(2*6)

x = -1/3 or x = -1/2

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

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

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

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

( x+1/2 )

x+1/2 = 0 // - 1/2

x = -1/2

( x+1/3 )

x+1/3 = 0 // - 1/3

x = -1/3

x in { -1/2, -1/3 }

See similar equations:

| (19/6)X=X+52 | | -6-6x=12 | | x^3=15x^2+34x | | 4-(3/(y+2))=5/(y+3) | | 14-7x=104-42x | | 5x+56=10x-14 | | 5d-3.3=72 | | 4x+30=90 | | 325x+385(x+35)=12575 | | 4-(3/(w+1))=-3/(w+2) | | 29+4(y-7)+2(9-y)=y | | 3*7+4=7+18 | | X^2+6x+9=-5+9 | | 5(n)-4=4+3(n) | | 2.14=x/12 | | (1/3)(4X-7)=((X+7)/6) | | 4(5x-3)=3(1-4x)+57 | | -29=x-10 | | 12x-3=105 | | 6-(5/(u+2))=(-6/(u-2)) | | 5x=24+-4y | | 12-5x=25-5x | | 2(x-4)-4x=0 | | 3[7-(-4X-9)]=60X+156 | | 6u^2+u-22=0 | | x^2-x-5=-4x+5 | | A=0.5h(b+c) | | Jx+sY+c=0FORX | | 1/4(7t-6)=t+6/8 | | 2(5y-2)+x= | | 2356= | | -1/9*5/6 |

Equations solver categories