2x/(x+3)+6/x=18/(x^2+3x)

Simple and best practice solution for 2x/(x+3)+6/x=18/(x^2+3x) 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 2x/(x+3)+6/x=18/(x^2+3x) equation: 


D( x )

x^2+3*x = 0

x = 0

x+3 = 0

x^2+3*x = 0

x^2+3*x = 0

x^2+3*x = 0

DELTA = 3^2-(0*1*4)

DELTA = 9

DELTA > 0

x = (9^(1/2)-3)/(1*2) or x = (-9^(1/2)-3)/(1*2)

x = 0 or x = -3

x = 0

x = 0

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

x in (-oo:-3) U (-3:0) U (0:+oo)

(2*x)/(x+3)+6/x = 18/(x^2+3*x) // - 18/(x^2+3*x)

(2*x)/(x+3)-(18/(x^2+3*x))+6/x = 0

(2*x)/(x+3)-18*(x^2+3*x)^-1+6/x = 0

(2*x)/(x+3)-18/(x^2+3*x)+6/x = 0

x^2+3*x = 0

x^2+3*x = 0

x*(x+3) = 0

x+3 = 0 // - 3

x = -3

x*(x+3) = 0

(2*x)/(x+3)-18/(x*(x+3))+6/x = 0

(2*x*x)/(x*(x+3))-18/(x*(x+3))+(6*(x+3))/(x*(x+3)) = 0

6*(x+3)+2*x*x-18 = 0

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

2*x^2+6*x = 0

2*x^2+6*x = 0

2*x*(x+3) = 0

x+3 = 0 // - 3

x = -3

2*x*(x+3) = 0

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

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

2*x*(x+3) = 0

( 2*x )

2*x = 0 // : 2

x = 0

( x+3 )

x+3 = 0 // - 3

x = -3

x in { 0} 

x in { -3} 

x belongs to the empty set

See similar equations:

| 9=c/3+2 | | 9*18=f | | 4x-5(1/4(x+5)) | | 4/(x+3)+1/(x-3)=21/(x^2-9) | | 12m-3m=108 | | -3a/(x+12)=9/(a-18) | | g+12+9g= | | 1/4(x+5) | | 12/(y+4)+3/y=(11y-4)/(y^2-16) | | 6x^2-28x-48= | | 3/4x^2-2x+1/2=0 | | x^2+(13-x)(13-x)=85 | | -29-9r-38=-9 | | log(8)(x+2)-log(8)x=2 | | x+9/x=-10 | | 3x(4x^2-2xy)= | | q+9-q=-10 | | log(8)(x-2)-log(8)x=2 | | 15x=33-2y | | F(x)=x^3-8x^2-23x+30 | | 1=1n | | y^2/(y+3)=9/(y+3) | | 5x^2-405= | | 2/3(x+4)=6-1/4(3x-2)-1 | | 2x(4+6)= | | (12*x)-y=47 | | 6/(x+6)=8/x | | 76-14n=9n | | 9+3(e+4)=7-2e | | 1/2-9/25x=12/25-1/10x | | 6K*-3K= | | 16x^2+80x+100= |

Equations solver categories