2/(y+2)-4/(y-2)=6/(y^2-4)

Simple and best practice solution for 2/(y+2)-4/(y-2)=6/(y^2-4) 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/(y+2)-4/(y-2)=6/(y^2-4) equation:


D( y )

y+2 = 0

y^2-4 = 0

y-2 = 0

y+2 = 0

y+2 = 0

y+2 = 0 // - 2

y = -2

y^2-4 = 0

y^2-4 = 0

1*y^2 = 4 // : 1

y^2 = 4

y^2 = 4 // ^ 1/2

abs(y) = 2

y = 2 or y = -2

y-2 = 0

y-2 = 0

y-2 = 0 // + 2

y = 2

y in (-oo:-2) U (-2:2) U (2:+oo)

2/(y+2)-(4/(y-2)) = 6/(y^2-4) // - 6/(y^2-4)

2/(y+2)-(4/(y-2))-(6/(y^2-4)) = 0

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

2/(y+2)-4/(y-2)-6/(y^2-4) = 0

(2*(y-2)*(y^2-4))/((y+2)*(y-2)*(y^2-4))+(-4*(y+2)*(y^2-4))/((y+2)*(y-2)*(y^2-4))+(-6*(y+2)*(y-2))/((y+2)*(y-2)*(y^2-4)) = 0

2*(y-2)*(y^2-4)-4*(y+2)*(y^2-4)-6*(y+2)*(y-2) = 0

8*y-2*y^3-12*y^2-6*y^2+24+48 = 0

8*y-2*y^3-18*y^2+72 = 0

8*y-2*y^3-18*y^2+72 = 0

2*(4*y-y^3-9*y^2+36) = 0

4*y-y^3-9*y^2+36

y*(4-y^2)-9*y^2+36

9*(4-y^2)+y*(4-y^2)

(y+9)*(4-y^2)

2*(y+9)*(4-y^2) = 0

(2*(y+9)*(4-y^2))/((y+2)*(y-2)*(y^2-4)) = 0

(2*(y+9)*(4-y^2))/((y+2)*(y-2)*(y^2-4)) = 0 // * (y+2)*(y-2)*(y^2-4)

2*(y+9)*(4-y^2) = 0

( 4-y^2 )

-1*y^2 = -4 // : -1

y^2 = 4

y^2 = 4 // ^ 1/2

abs(y) = 2

y = 2 or y = -2

( y+9 )

y+9 = 0 // - 9

y = -9

y in { 2}

y in { -2}

y = -9

See similar equations:

| 7=n/12+6 | | z-6z=9z-5-z | | 2+x/3=10 | | 8X+9=70 | | 6x+(2x+36)=180 | | 7(x+1)=-84 | | x/8+1=-7 | | -3y+1=22 | | 7X+9=70 | | 3/(y^2-3y+2)+7/(y^2-1) | | X-6/x+8=4/7 | | 7X+X+9=70 | | -12p=60 | | 3z-6z=27 | | -3(x+3)+4x=14 | | 8x^3-75x+62.5=0 | | .-8=x+2/4 | | 4X-4=88 | | -3/10z=-6 | | m/8+6=4 | | 29x+2y=7 | | 4x+18=2x+46 | | -6(m+1)=-126 | | x+x+16=56 | | t/4+2=-2 | | 9+10s-8=9s+41-7s | | 9x=8x-16 | | -2(2x-4)+8x-5= | | 3k^2+4=64 | | n-4/3=-13/12 | | (2x-9)-(4x+8)= | | 2x^2+18=100 |

Equations solver categories