(w/(w-5))-((5w)/(5w-4))=((w-3)/(5w^2-29w+20))

Simple and best practice solution for (w/(w-5))-((5w)/(5w-4))=((w-3)/(5w^2-29w+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))-((5w)/(5w-4))=((w-3)/(5w^2-29w+20)) equation: 


D( w )

5*w^2-(29*w)+20 = 0

5*w-4 = 0

w-5 = 0

5*w^2-(29*w)+20 = 0

5*w^2-(29*w)+20 = 0

5*w^2-29*w+20 = 0

5*w^2-29*w+20 = 0

DELTA = (-29)^2-(4*5*20)

DELTA = 441

DELTA > 0

w = (441^(1/2)+29)/(2*5) or w = (29-441^(1/2))/(2*5)

w = 5 or w = 4/5

5*w-4 = 0

5*w-4 = 0

5*w-4 = 0 // + 4

5*w = 4 // : 5

w = 4/5

w-5 = 0

w-5 = 0

w-5 = 0 // + 5

w = 5

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

w/(w-5)-((5*w)/(5*w-4)) = (w-3)/(5*w^2-(29*w)+20) // - (w-3)/(5*w^2-(29*w)+20)

w/(w-5)-((5*w)/(5*w-4))-((w-3)/(5*w^2-(29*w)+20)) = 0

w/(w-5)-5*w*(5*w-4)^-1-((w-3)/(5*w^2-29*w+20)) = 0

w/(w-5)+(-5*w)/(5*w-4)+(-1*(w-3))/(5*w^2-29*w+20) = 0

5*w^2-29*w+20 = 0

5*w^2-29*w+20 = 0

5*w^2-29*w+20 = 0

DELTA = (-29)^2-(4*5*20)

DELTA = 441

DELTA > 0

w = (441^(1/2)+29)/(2*5) or w = (29-441^(1/2))/(2*5)

w = 5 or w = 4/5

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

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

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

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

21*w^2-5*w^2-84/5*w+19*w-12 = 0

16*w^2+11/5*w-12 = 0

16*w^2+11/5*w-12 = 0

16*w^2+11/5*w-12 = 0

DELTA = (11/5)^2-(-12*4*16)

DELTA = 19321/25

DELTA > 0

w = ((19321/25)^(1/2)-11/5)/(2*16) or w = (-(19321/25)^(1/2)-11/5)/(2*16)

w = 4/5 or w = -15/16

(w+15/16)*(w-4/5) = 0

((w+15/16)*(w-4/5))/((w-5)*(5*w-4)*(w-4/5)) = 0

((w+15/16)*(w-4/5))/((w-5)*(5*w-4)*(w-4/5)) = 0 // * (w-5)*(5*w-4)*(w-4/5)

(w+15/16)*(w-4/5) = 0

( w+15/16 )

w+15/16 = 0 // - 15/16

w = -15/16

( w-4/5 )

w-4/5 = 0 // + 4/5

w = 4/5

w in { 4/5} 

w = -15/16

See similar equations:

| 3x^3+x^2+3x+1=0 | | T=8L+LRS | | -48=5x-3 | | 4w-4=w+8 | | f(x)=3x^3+x^2+3x+1 | | 6y+8=17 | | 75x^2+16x-6=0 | | Y^2-x=4 | | 1/4(5x-3)+1/16(12x+17) | | 12x^2-x-8=0 | | ((x+13)/(x-2))+1=(15/(x-2)) | | 6z-1=z+24 | | 18m-53=5m | | 1/6(12-18x)+7=5 | | 64x^4-81=0 | | 2y+3x/5=8 | | x(2x-2)+x(2x-2)=(4x+2)(x-3) | | 10y+2=12y | | -12=5x-8x-27 | | 16=2(w+3)-4w | | -5a+2+6a=14-17 | | -0.17p-0.06(4-4p)=0.02(p-5)-0.14 | | 3.5x-20=2.4x+3 | | x/3-4=x/5-2 | | y+3=2x+4 | | -5/3a+2=-2/9 | | 7x-5=12x | | x-9*5=-30 | | (3+6)-x= | | 0.005(9-x)+0.07(x-4)=1 | | 1/4s+3/8=5/2 | | y=6x-40 |

Equations solver categories