((w)/(w-5))-((3w)/(3w-4))=((w-3)/(3w^2-19w+20))

Simple and best practice solution for ((w)/(w-5))-((3w)/(3w-4))=((w-3)/(3w^2-19w+20)) 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 ((w)/(w-5))-((3w)/(3w-4))=((w-3)/(3w^2-19w+20)) equation: 


D( w )

w-5 = 0

3*w^2-(19*w)+20 = 0

3*w-4 = 0

w-5 = 0

w-5 = 0

w-5 = 0 // + 5

w = 5

3*w^2-(19*w)+20 = 0

3*w^2-(19*w)+20 = 0

3*w^2-19*w+20 = 0

3*w^2-19*w+20 = 0

DELTA = (-19)^2-(3*4*20)

DELTA = 121

DELTA > 0

w = (121^(1/2)+19)/(2*3) or w = (19-121^(1/2))/(2*3)

w = 5 or w = 4/3

3*w-4 = 0

3*w-4 = 0

3*w-4 = 0 // + 4

3*w = 4 // : 3

w = 4/3

w in (-oo:4/3) U (4/3:5) U (5:+oo)

w/(w-5)-((3*w)/(3*w-4)) = (w-3)/(3*w^2-(19*w)+20) // - (w-3)/(3*w^2-(19*w)+20)

w/(w-5)-((3*w)/(3*w-4))-((w-3)/(3*w^2-(19*w)+20)) = 0

w/(w-5)-3*w*(3*w-4)^-1-((w-3)/(3*w^2-19*w+20)) = 0

w/(w-5)+(-3*w)/(3*w-4)+(-1*(w-3))/(3*w^2-19*w+20) = 0

3*w^2-19*w+20 = 0

3*w^2-19*w+20 = 0

3*w^2-19*w+20 = 0

DELTA = (-19)^2-(3*4*20)

DELTA = 121

DELTA > 0

w = (121^(1/2)+19)/(2*3) or w = (19-121^(1/2))/(2*3)

w = 5 or w = 4/3

(w-4/3)*(w-5) = 0

w/(w-5)+(-3*w)/(3*w-4)+(-1*(w-3))/((w-4/3)*(w-5)) = 0

(w*(3*w-4)*(w-4/3))/((w-5)*(3*w-4)*(w-4/3))+(-3*w*(w-5)*(w-4/3))/((w-5)*(3*w-4)*(w-4/3))+(-1*(w-3)*(3*w-4))/((w-5)*(3*w-4)*(w-4/3)) = 0

w*(3*w-4)*(w-4/3)-3*w*(w-5)*(w-4/3)-1*(w-3)*(3*w-4) = 0

11*w^2-3*w^2-44/3*w+13*w-12 = 0

8*w^2-5/3*w-12 = 0

8*w^2-5/3*w-12 = 0

8*w^2-5/3*w-12 = 0

DELTA = (-5/3)^2-(-12*4*8)

DELTA = 3481/9

DELTA > 0

w = ((3481/9)^(1/2)+5/3)/(2*8) or w = (5/3-(3481/9)^(1/2))/(2*8)

w = 4/3 or w = -9/8

(w+9/8)*(w-4/3) = 0

((w+9/8)*(w-4/3))/((w-5)*(3*w-4)*(w-4/3)) = 0

((w+9/8)*(w-4/3))/((w-5)*(3*w-4)*(w-4/3)) = 0 // * (w-5)*(3*w-4)*(w-4/3)

(w+9/8)*(w-4/3) = 0

( w+9/8 )

w+9/8 = 0 // - 9/8

w = -9/8

( w-4/3 )

w-4/3 = 0 // + 4/3

w = 4/3

w in { 4/3} 

w = -9/8

See similar equations:

| K-1/2=12 | | 6=(-7x-9)/9 | | -19*7=x | | (-4m^7)(-8m^3)= | | A=8/5(h-20) | | n^2+5n+-24=0 | | -27*8=x | | 23-(-23)= | | 3g-6=90 | | z-5/4=8 | | 2x+10+2x+10=6x | | (13/7)/(24/11) | | 12=(1*6x) | | -5y+6x=2 | | 13/7/24/11 | | 3(2n+4)=6(9n+9)+1 | | 2(3y+1)(2y-1)/3(2y-1)(3y) | | Z-6=-16 | | ((w)/(w-2))-((3w)/(3w-2))=((w-1)/(3w^2-8w+4)) | | w/w-5-3w/3w-4=w-3/3w^2-19w+20 | | 3f-4=44 | | -d/4 | | c=2.8*20+15.98 | | 2[-4(4x+3)+5(5x-5)]= | | (0.5)(x)(3x+3)=84 | | 9(4x+1)=2x-7x | | 12k-3z=36 | | 2(3x+1)(2y-1)/3(2y-1)(3y) | | 16-4x=9-5x | | B/5+1/3=13 | | 0.5*x*3x+3=84 | | c=2.8*9+15.98 |

Equations solver categories