5x/x-2+3/x+2=4/x^2-4

Simple and best practice solution for 5x/x-2+3/x+2=4/x^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 5x/x-2+3/x+2=4/x^2-4 equation: 


D( x )

x = 0

x^2 = 0

x = 0

x = 0

x^2 = 0

x^2 = 0

1*x^2 = 0 // : 1

x^2 = 0

x = 0

x in (-oo:0) U (0:+oo)

3/x+(5*x)/x-2+2 = 4/(x^2)-4 // - 4/(x^2)-4

3/x-(4/(x^2))+(5*x)/x-2+2+4 = 0

3/x-4*x^-2+(5*x)/x-2+2+4 = 0

3*x^-1-4*x^-2+9 = 0

t_1 = x^-1

3*t_1^1-4*t_1^2+9 = 0

3*t_1-4*t_1^2+9 = 0

DELTA = 3^2-(-4*4*9)

DELTA = 153

DELTA > 0

t_1 = (153^(1/2)-3)/(-4*2) or t_1 = (-153^(1/2)-3)/(-4*2)

t_1 = (3*17^(1/2)-3)/(-8) or t_1 = (-3*17^(1/2)-3)/(-8)

t_1 = (3*17^(1/2)-3)/(-8)

x^-1-((3*17^(1/2)-3)/(-8)) = 0

1*x^-1 = (3*17^(1/2)-3)/(-8) // : 1

x^-1 = (3*17^(1/2)-3)/(-8)

-1 < 0

1/(x^1) = (3*17^(1/2)-3)/(-8) // * x^1

1 = ((3*17^(1/2)-3)/(-8))*x^1 // : (3*17^(1/2)-3)/(-8)

-8*(3*17^(1/2)-3)^-1 = x^1

x = -8*(3*17^(1/2)-3)^-1

t_1 = (-3*17^(1/2)-3)/(-8)

x^-1-((-3*17^(1/2)-3)/(-8)) = 0

1*x^-1 = (-3*17^(1/2)-3)/(-8) // : 1

x^-1 = (-3*17^(1/2)-3)/(-8)

-1 < 0

1/(x^1) = (-3*17^(1/2)-3)/(-8) // * x^1

1 = ((-3*17^(1/2)-3)/(-8))*x^1 // : (-3*17^(1/2)-3)/(-8)

-8*(-3*17^(1/2)-3)^-1 = x^1

x = -8*(-3*17^(1/2)-3)^-1

x in { -8*(3*17^(1/2)-3)^-1, -8*(-3*17^(1/2)-3)^-1 }

See similar equations:

| 17-6h=29 | | 4(3)-y=4 | | -18p-4(2-6p)=4(p-2)-8 | | -11-5x=8x+15 | | 3d+14=2 | | d+116=-747 | | (-7)+x= | | 5x/x-2+3/x | | 6(2x+8)+9x= | | 8/n+7=10/n | | 5*1/5*z=5*32/3 | | 7x-8=2x+8 | | 4(2)-y=4 | | 2a+11=5 | | v+2=2+6v-3v | | 3y^2+7y+3= | | 9x+13/x+4 | | -6(2p-8)=p-30 | | -5(a+7)=70 | | 3n+3=-2n-8 | | 21=9k-6 | | 7x+2=2(46-x) | | 5x+7=83-3x | | t+-65=162 | | -(31-k)+24=-5 | | -6(1-7p)-2(p-3)=6p-6p | | 56=3v+11 | | 1.5/5=6.75/n | | 3x+4=9+(6x+1) | | -26=4-3X | | B/b-9=10/3 | | w+928=855 |

Equations solver categories