7/(y-6)=5/(4y-24)-2

Simple and best practice solution for 7/(y-6)=5/(4y-24)-2 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 7/(y-6)=5/(4y-24)-2 equation:


D( y )

y-6 = 0

4*y-24 = 0

y-6 = 0

y-6 = 0

y-6 = 0 // + 6

y = 6

4*y-24 = 0

4*y-24 = 0

4*y-24 = 0 // + 24

4*y = 24 // : 4

y = 24/4

y = 6

y in (-oo:6) U (6:+oo)

7/(y-6) = 5/(4*y-24)-2 // - 5/(4*y-24)-2

7/(y-6)-(5/(4*y-24))+2 = 0

7/(y-6)-5*(4*y-24)^-1+2 = 0

7/(y-6)-5/(4*y-24)+2 = 0

(7*(4*y-24))/((y-6)*(4*y-24))+(-5*(y-6))/((y-6)*(4*y-24))+(2*(y-6)*(4*y-24))/((y-6)*(4*y-24)) = 0

7*(4*y-24)-5*(y-6)+2*(y-6)*(4*y-24) = 0

8*y^2+23*y-96*y-138+288 = 0

8*y^2-73*y+150 = 0

8*y^2-73*y+150 = 0

8*y^2-73*y+150 = 0

DELTA = (-73)^2-(4*8*150)

DELTA = 529

DELTA > 0

y = (529^(1/2)+73)/(2*8) or y = (73-529^(1/2))/(2*8)

y = 6 or y = 25/8

(y-25/8)*(y-6) = 0

((y-25/8)*(y-6))/((y-6)*(4*y-24)) = 0

((y-25/8)*(y-6))/((y-6)*(4*y-24)) = 0 // * (y-6)*(4*y-24)

(y-25/8)*(y-6) = 0

( y-25/8 )

y-25/8 = 0 // + 25/8

y = 25/8

( y-6 )

y-6 = 0 // + 6

y = 6

y in { 6}

y = 25/8

See similar equations:

| 35000+1680.00x=300.440 | | -7/(5x+5)+1=-5/(x+3) | | 6h+19h=2 | | 5(1+4)-(5*1+20)=0 | | 4/(w+4)=8/(2w+8)-3 | | 7(8+3y/5)-3y=-10 | | 6h+19forh=2 | | -6/(y+2)=2/(3y+6)-1 | | 7(8+3y/5) | | |-2n|=6 | | 9x5/6 | | -18-2x=6-2x | | 4x-30=x+30 | | 8(.5+.25x)+3=5x+7-x | | 16w+12= | | 5/6/8/3 | | 0.3333333333(9-6x)+x=7+2x-2 | | b/3-2=6 | | 2a+7=52 | | 5(.75)-6= | | -2-2x-x=-14 | | 1/x+1/x+2 | | y=-2+.6x | | 8x-5(x-3)=8x-24 | | 5y=-10+3x | | 2ln(7x)=-2 | | 9(x-2)-3(x-1)=-1-x | | y=4x+3-2 | | 4x^3+24x^2-9x-54=0 | | 10x^8/6x^4 | | (25x^-3y^2)/(35x^5y^4) | | -4=(2w+2)/3-(9w+6)/4 |

Equations solver categories