2/(x-4)=-5/(3x-12)+4

Simple and best practice solution for 2/(x-4)=-5/(3x-12)+4 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 2/(x-4)=-5/(3x-12)+4 equation: 


D( x )

x-4 = 0

3*x-12 = 0

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

3*x-12 = 0

3*x-12 = 0

3*x-12 = 0 // + 12

3*x = 12 // : 3

x = 12/3

x = 4

x in (-oo:4) U (4:+oo)

2/(x-4) = 4-5/(3*x-12) // - 4-5/(3*x-12)

2/(x-4)-(-5/(3*x-12))-4 = 0

2/(x-4)+5*(3*x-12)^-1-4 = 0

2/(x-4)+5/(3*x-12)-4 = 0

(2*(3*x-12))/((x-4)*(3*x-12))+(5*(x-4))/((x-4)*(3*x-12))+(-4*(x-4)*(3*x-12))/((x-4)*(3*x-12)) = 0

2*(3*x-12)+5*(x-4)-4*(x-4)*(3*x-12) = 0

11*x-12*x^2+96*x-192-44 = 0

107*x-12*x^2-236 = 0

107*x-12*x^2-236 = 0

107*x-12*x^2-236 = 0

DELTA = 107^2-(-236*(-12)*4)

DELTA = 121

DELTA > 0

x = (121^(1/2)-107)/(-12*2) or x = (-121^(1/2)-107)/(-12*2)

x = 4 or x = 59/12

(x-4)*(x-59/12) = 0

((x-4)*(x-59/12))/((x-4)*(3*x-12)) = 0

((x-4)*(x-59/12))/((x-4)*(3*x-12)) = 0 // * (x-4)*(3*x-12)

(x-4)*(x-59/12) = 0

( x-4 )

x-4 = 0 // + 4

x = 4

( x-59/12 )

x-59/12 = 0 // + 59/12

x = 59/12

x in { 4} 

x = 59/12

See similar equations:

| 3x+6x=x | | 0.2=x^2/55-x | | 4p+5=3g | | 2u=-20 | | -8+u=-2 | | 8x^7-64x^5= | | -8+u=2 | | 178=19-u | | s^3-2s^2+7s-14= | | 7(6q+19)= | | r^2-4rf-45f^2= | | x^2+5-9=0 | | 6k^2-18k-18=6 | | 2/3-42= | | k^2+3k-12=6 | | 6x^2-6x+6y^2+10y=-5 | | -7/8x+24(24) | | k^2-11k+19=-5 | | 2a+3/3+2a=1 | | -3(4-6x)+x= | | 5p+215=c | | (2n+21)+(4n+15)=180 | | y/5-9=11 | | -61=7y-26 | | -3x-10=-46 | | 3p^2+2p-4=0 | | (5x-2)(-4x-3)= | | 16(x-8)=2(2a-x) | | 21w/x | | -7x+b=n | | b+7x=n | | 26/35*y |

Equations solver categories