1/(x+3)=(x+4)/(x-2)+6/(x-2)

Simple and best practice solution for 1/(x+3)=(x+4)/(x-2)+6/(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 1/(x+3)=(x+4)/(x-2)+6/(x-2) equation: 


D( x )

x-2 = 0

x+3 = 0

x-2 = 0

x-2 = 0

x-2 = 0 // + 2

x = 2

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:2) U (2:+oo)

1/(x+3) = (x+4)/(x-2)+6/(x-2) // - (x+4)/(x-2)+6/(x-2)

1/(x+3)-((x+4)/(x-2))-(6/(x-2)) = 0

1/(x+3)-((x+4)/(x-2))-6*(x-2)^-1 = 0

1/(x+3)+(-1*(x+4))/(x-2)-6/(x-2) = 0

(1*(x-2))/((x+3)*(x-2))+(-1*(x+4)*(x+3))/((x+3)*(x-2))+(-6*(x+3))/((x+3)*(x-2)) = 0

1*(x-2)-1*(x+4)*(x+3)-6*(x+3) = 0

-x^2-6*x-6*x-18-14 = 0

-x^2-12*x-32 = 0

-x^2-12*x-32 = 0

-1*(x^2+12*x+32) = 0

x^2+12*x+32 = 0

DELTA = 12^2-(1*4*32)

DELTA = 16

DELTA > 0

x = (16^(1/2)-12)/(1*2) or x = (-16^(1/2)-12)/(1*2)

x = -4 or x = -8

-1*(x+8)*(x+4) = 0

(-1*(x+8)*(x+4))/((x+3)*(x-2)) = 0

(-1*(x+8)*(x+4))/((x+3)*(x-2)) = 0 // * (x+3)*(x-2)

-1*(x+8)*(x+4) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x+8 )

x+8 = 0 // - 8

x = -8

x in { -4, -8 }

See similar equations:

| 1/(x+3)=(x+4)/(x-2)+6/(x-2) | | 1/(x+3)=(x+4)/(x-2)+6/(x-2) | | 1/(x+3)=(x+4)/(x-2)+6/(x-2) | | 4x^4-20x^3-51x^2+170x-64=0 | | Inx=0.2 | | 11/2x-2/3x=1/6 | | (x)/(x+5)=(5)/(4) | | 4x-7=x-.5 | | 5x+1.2=6x | | 5x+2y=2x+3y | | 4x-1=7x | | 7/9+3/4 | | 5x+12/20=7 | | -b-5=2 | | 6q-4=62 | | ((5x6)/10)+12-5 | | 2.53=-2.3t | | 6x^2+4x+2=5 | | 4k-(k-3)=6(k-51) | | 4k-(k-3)=6k-306 | | ln(x)+ln(x-5)=ln(8x) | | x-3/4=1/12 | | 5-(x+3)=2(x-1) | | 2n-15=13 | | 25/6+m=52/3 | | 5(3x+12)+45=56 | | 3x^3-17x^2+9x+5=0 | | 1.25n=8 | | 5x+12=56 | | 4/5x=33/4 | | z-43/8=161/4 | | (60/x)20*64*22.2/10 |

Equations solver categories