(4/(3x+6))-(3/(x+3))=(13/(x^2+5x+6))

Simple and best practice solution for (4/(3x+6))-(3/(x+3))=(13/(x^2+5x+6)) 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/(3x+6))-(3/(x+3))=(13/(x^2+5x+6)) equation: 


D( x )

3*x+6 = 0

x^2+5*x+6 = 0

x+3 = 0

3*x+6 = 0

3*x+6 = 0

3*x+6 = 0 // - 6

3*x = -6 // : 3

x = -6/3

x = -2

x^2+5*x+6 = 0

x^2+5*x+6 = 0

x^2+5*x+6 = 0

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

DELTA = 1

DELTA > 0

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

x = -2 or x = -3

x+3 = 0

x+3 = 0

x+3 = 0 // - 3

x = -3

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

4/(3*x+6)-(3/(x+3)) = 13/(x^2+5*x+6) // - 13/(x^2+5*x+6)

4/(3*x+6)-(3/(x+3))-(13/(x^2+5*x+6)) = 0

4/(3*x+6)-3*(x+3)^-1-13*(x^2+5*x+6)^-1 = 0

4/(3*x+6)-3/(x+3)-13/(x^2+5*x+6) = 0

x^2+5*x+6 = 0

x^2+5*x+6 = 0

x^2+5*x+6 = 0

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

DELTA = 1

DELTA > 0

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

x = -2 or x = -3

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

4/(3*x+6)-3/(x+3)-13/((x+3)*(x+2)) = 0

(4*(x+3))/((3*x+6)*(x+3))+(-3*(3*x+6))/((3*x+6)*(x+3))+(-13*(3*x+6))/((3*x+6)*(x+3)) = 0

4*(x+3)-3*(3*x+6)-13*(3*x+6) = 0

-5*x-39*x-78-6 = 0

-44*x-84 = 0

(-44*x-84)/((3*x+6)*(x+3)) = 0

(-44*x-84)/((3*x+6)*(x+3)) = 0 // * (3*x+6)*(x+3)

-44*x-84 = 0

-44*x-84 = 0 // + 84

-44*x = 84 // : -44

x = 84/(-44)

x = -21/11

x = -21/11

See similar equations:

| 2/5x-9/25-4 | | -9a=4 | | 6(6x+5)-1=25 | | 2l+5a= | | y/12=-29 | | 3(4)+8= | | 3(3-x)=4x | | y/15=-11 | | 2(4)+8= | | 2+2x-1+5=15 | | 3x-2=12x | | -2(5s-4)-8=-3(5s+0)-3 | | 2x+24=.285 | | 3x+=4x*7 | | 3x^2-30x=8 | | 3x+=4x+7 | | 4x+2=-3x^2 | | 2(4)+9= | | -2/3x-7/12=4 | | 3x+=4x-7 | | 7x-(5x+8)=6x-48 | | -12+25+(-16)+(-11)= | | (z/(z-1))+(3/(z+1))=(2/(z^2-1)) | | 2x+3-6=-11 | | -1*-3+6= | | u-9.8=.3 | | (5x+10)+(5x+9)+(5x)=(5x)+(5x)+(6x+15) | | 10x+15=9x+15 | | 1*-3+6= | | 7x-8=x+8 | | 4(7x-7y)=4(14) | | 2x^3+11x^2+8x-21=0 |

Equations solver categories