(1/y)-(1/5y)+(1/(y+1))=5/(y+1)

Simple and best practice solution for (1/y)-(1/5y)+(1/(y+1))=5/(y+1) 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 (1/y)-(1/5y)+(1/(y+1))=5/(y+1) equation:


D( y )

y = 0

y+1 = 0

y = 0

y = 0

y+1 = 0

y+1 = 0

y+1 = 0 // - 1

y = -1

y in (-oo:-1) U (-1:0) U (0:+oo)

t_1 = 0

1/(y+1)-5*(y+1)^-1+t_1-1/5*y+y^-1 = 0

1/(y+1)-5/(y+1)+t_1-y/5+1/y = 0

(1*5*y)/(5*y*(y+1))+(-5*5*y)/(5*y*(y+1))+(5*t_1*y*(y+1))/(5*y*(y+1))+(-y*y*(y+1))/(5*y*(y+1))+(1*5*(y+1))/(5*y*(y+1)) = 0

5*t_1*y*(y+1)-y*y*(y+1)+1*5*(y+1)+1*5*y-5*5*y = 0

5*t_1*y^2+5*t_1*y-y^3-y^2-20*y+5*y+5 = 0

5*t_1*y^2+5*t_1*y-y^3-y^2-15*y+5 = 0

5*t_1*y^2+5*t_1*y-y^3-y^2-15*y+5 = 0

5*t_1*y^2+5*t_1*y-y^3-y^2-15*y+5

5*t_1*y*(y+1)-y^3-y^2-15*y+5

5*t_1*y*(y+1)-y^2*(y+1)-15*y+5

5*(1-3*y)-y^2*(y+1)+5*t_1*y*(y+1)

(5*t_1*y-y^2)*(y+1)+5*(1-3*y)

6*(5*t_1*y-y^2)

(6*(5*t_1*y-y^2))/(5*y*(y+1)) = 0

(6*(5*t_1*y-y^2))/(5*y*(y+1)) = 0 // * 5*y*(y+1)

6*(5*t_1*y-y^2) = 0

5*t_1*y-y^2 = 0

y*(5*t_1-y) = 0

5*t_1-y = 0 // - 5*t_1

-y = -(5*t_1) // * -1

y = 5*t_1

y*(y-5*t_1) = 0

6*y*(y-5*t_1) = 0

( y-5*t_1 )

y-5*t_1 = 0 // + -5*t_1

y = -(-5*t_1)

y = 5*t_1

( y )

y = 0

y in { 0*5}

y in { 0}

y belongs to the empty set

See similar equations:

| 6n+7(2+6N)= | | 1/5(10x-8)=8 | | 8m^6+4m^2/12m^4 | | 48=28-5(x-1) | | 10x^2-34xy-24y^2=0 | | 13(1+2m)=-13+5(9m-10) | | 4/5(30X+15)-2=-3/4(28X-16) | | 4c+8-c=8+3c | | 4x^2-6xy-18y^2=0 | | 5z=-2z-14 | | x^4/10-x^1/10 | | 6+4(4+6m)= | | 4m+11-2m=51 | | 18=-4/9x | | T-9.2=-68 | | -6(2+6p)=6(14-8p) | | (3x-2)/(1-x)=(14/3) | | 3(10d+7)+8d= | | x+25+4=-39-4x-44 | | -4p+5+5p=10 | | 2x^2-3xy-9y^2=0 | | 2x+1/10x+9=7/8 | | 7(X+8)=4[X-(5-X)] | | 5m+3-4m=34 | | X+2/5=12/5 | | 2x=4y-12 | | -2(2-7v)=-7(v-6)-4 | | 2+8(7f+3)= | | 6g+6(5g+8)= | | -(-3n+3)=9(n+3) | | 11x+14=11x+15 | | 75x^3y^6=0 |

Equations solver categories