7/(x+6)=1/x+(8x+6)/(x^2+6x)

Simple and best practice solution for 7/(x+6)=1/x+(8x+6)/(x^2+6x) 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 7/(x+6)=1/x+(8x+6)/(x^2+6x) equation: 


D( x )

x = 0

x+6 = 0

x^2+6*x = 0

x = 0

x = 0

x+6 = 0

x+6 = 0

x+6 = 0 // - 6

x = -6

x^2+6*x = 0

x^2+6*x = 0

x^2+6*x = 0

DELTA = 6^2-(0*1*4)

DELTA = 36

DELTA > 0

x = (36^(1/2)-6)/(1*2) or x = (-36^(1/2)-6)/(1*2)

x = 0 or x = -6

x in (-oo:-6) U (-6:0) U (0:+oo)

7/(x+6) = (8*x+6)/(x^2+6*x)+1/x // - (8*x+6)/(x^2+6*x)+1/x

7/(x+6)-((8*x+6)/(x^2+6*x))-(1/x) = 0

7/(x+6)-((8*x+6)/(x^2+6*x))-x^-1 = 0

7/(x+6)+(-1*(8*x+6))/(x^2+6*x)-1/x = 0

x^2+6*x = 0

x^2+6*x = 0

x*(x+6) = 0

x+6 = 0 // - 6

x = -6

x*(x+6) = 0

7/(x+6)+(-1*(8*x+6))/(x*(x+6))-1/x = 0

(7*x)/(x*(x+6))+(-1*(8*x+6))/(x*(x+6))+(-1*(x+6))/(x*(x+6)) = 0

7*x-1*(8*x+6)-1*(x+6) = 0

-x-x-6-6 = 0

-2*x-12 = 0

(-2*x-12)/(x*(x+6)) = 0

(-2*x-12)/(x*(x+6)) = 0 // * x*(x+6)

-2*x-12 = 0

-2*x-12 = 0 // + 12

-2*x = 12 // : -2

x = 12/(-2)

x = -6

x in { -6} 

x belongs to the empty set

See similar equations:

| (9x^3-6x^2-3x+1)+(5x^3+7x^2+3x+1)= | | 3:11=a | | 2x+40=4x-10 | | 3:11= | | 37=h/4+4+13 | | t-3.1=1.6 | | 3v-36=v | | 7.2+x=9.7 | | 15*x-8-3*x=16 | | 3x-6+7x=16 | | 52=-y/2 | | 5x-9-3x+11=180 | | 12x-1-10x=28 | | 22x=x^3-9x^2 | | 6n=3/4 | | b/3=0.6 | | x=173+43 | | 4t-97=3t-70 | | 7/(x-1)+6/(x+1)=8/(x^2-1) | | 5.7+s=6.0 | | (-3)x-(5)=-20 | | 3(5x-3)+3=3-2(x-3) | | 1/(1-t)+6/(1+t)+36/(1-t^2)=0 | | 9t-21=6t-3 | | 10-y=-15-6y | | E=IQ | | 5+(-5)+x=7.5+(-5) | | Y=.10x+230 | | w-2.3=1.2 | | 2w=6w-92 | | (X+7)+(x+3)=36 | | 5q-2q=100+q |

Equations solver categories