(1/z-6)-(4/z)=((2z+6)/(z^2+6z))

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


D( z )

z = 0

z^2+6*z = 0

z = 0

z = 0

z^2+6*z = 0

z^2+6*z = 0

z^2+6*z = 0

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

DELTA = 36

DELTA > 0

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

z = 0 or z = -6

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

1/z-(4/z)-6 = (2*z+6)/(z^2+6*z) // - (2*z+6)/(z^2+6*z)

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

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

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

z^2+6*z = 0

z^2+6*z = 0

z*(z+6) = 0

z+6 = 0 // - 6

z = -6

z*(z+6) = 0

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

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

1*(z+6)-1*(2*z+6)-4*(z+6)-6*z*(z+6) = 0

-6*z^2-z-4*z-36*z-24 = 0

-6*z^2-5*z-36*z-24 = 0

-6*z^2-41*z-24 = 0

-6*z^2-41*z-24 = 0

-1*(6*z^2+41*z+24) = 0

6*z^2+41*z+24 = 0

DELTA = 41^2-(4*6*24)

DELTA = 1105

DELTA > 0

z = (1105^(1/2)-41)/(2*6) or z = (-1105^(1/2)-41)/(2*6)

z = (1105^(1/2)-41)/12 or z = (-(1105^(1/2)+41))/12

-1*(z+(1105^(1/2)+41)/12)*(z-((1105^(1/2)-41)/12)) = 0

(-1*(z+(1105^(1/2)+41)/12)*(z-((1105^(1/2)-41)/12)))/(z*(z+6)) = 0

(-1*(z+(1105^(1/2)+41)/12)*(z-((1105^(1/2)-41)/12)))/(z*(z+6)) = 0 // * z*(z+6)

-1*(z+(1105^(1/2)+41)/12)*(z-((1105^(1/2)-41)/12)) = 0

( z+(1105^(1/2)+41)/12 )

z+(1105^(1/2)+41)/12 = 0 // - (1105^(1/2)+41)/12

z = -((1105^(1/2)+41)/12)

( z-((1105^(1/2)-41)/12) )

z-((1105^(1/2)-41)/12) = 0 // + (1105^(1/2)-41)/12

z = (1105^(1/2)-41)/12

z in { -((1105^(1/2)+41)/12), (1105^(1/2)-41)/12 }

See similar equations:

| 9/5+4/5x=32/15+8/3x+1/3 | | 12+3/2r=-12 | | 5/2+1/3t=6 | | -3n-(4/3-2n)=-2/3+n | | 4(1)-8+5(1)=1 | | rx+b=-5b+tx | | 30x+25y=175 | | 18d=18d-44 | | -13.5q-4(-4-3q)=16.5 | | 7(5x-2)=6(6a-1) | | .25(8+4p)-.5(12+2p)= | | 3/5-16/33 | | 4x+6/4-x=4/3 | | xp^2-2p^2-3p=4x-14 | | 2=(2x+6)/4 | | 3x-7=30x+2 | | (8y+14)+15= | | (2x+6)/4 | | (1-28w)/7 | | 81a^4+72a^2b^2+16b^4= | | 1-28w/7 | | 1-78w/9 | | 8(9y-3)-(8y+4)= | | 12(n+8)=3(32+4b) | | 2(-8)+5y=1 | | x-5/4=8 | | 9+4/7 | | 8z^4-12z^3-80z^2=0 | | 4m-29=-39+9m | | 3/8+9/19 | | 9n-23=-11+5n | | -62-18=132 |

Equations solver categories