(x/x+4)-(2/x^2-16)=1/x-4

Simple and best practice solution for (x/x+4)-(2/x^2-16)=1/x-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 (x/x+4)-(2/x^2-16)=1/x-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)

x/x-(2/(x^2))+4+16 = 1/x-4 // - 1/x-4

x/x-(1/x)-(2/(x^2))+4+4+16 = 0

x/x-x^-1-2*x^-2+4+4+16 = 0

25-x^-1-2*x^-2 = 0

t_1 = x^-1

25-2*t_1^2-1*t_1^1 = 0

25-2*t_1^2-t_1 = 0

DELTA = (-1)^2-(-2*4*25)

DELTA = 201

DELTA > 0

t_1 = (201^(1/2)+1)/(-2*2) or t_1 = (1-201^(1/2))/(-2*2)

t_1 = (201^(1/2)+1)/(-4) or t_1 = (1-201^(1/2))/(-4)

t_1 = (201^(1/2)+1)/(-4)

x^-1-((201^(1/2)+1)/(-4)) = 0

1*x^-1 = (201^(1/2)+1)/(-4) // : 1

x^-1 = (201^(1/2)+1)/(-4)

-1 < 0

1/(x^1) = (201^(1/2)+1)/(-4) // * x^1

1 = ((201^(1/2)+1)/(-4))*x^1 // : (201^(1/2)+1)/(-4)

-4*(201^(1/2)+1)^-1 = x^1

x = -4*(201^(1/2)+1)^-1

t_1 = (1-201^(1/2))/(-4)

x^-1-((1-201^(1/2))/(-4)) = 0

1*x^-1 = (1-201^(1/2))/(-4) // : 1

x^-1 = (1-201^(1/2))/(-4)

-1 < 0

1/(x^1) = (1-201^(1/2))/(-4) // * x^1

1 = ((1-201^(1/2))/(-4))*x^1 // : (1-201^(1/2))/(-4)

-4*(1-201^(1/2))^-1 = x^1

x = -4*(1-201^(1/2))^-1

x in { -4*(201^(1/2)+1)^-1, -4*(1-201^(1/2))^-1 }

See similar equations:

| 9x+2=3(x+4) | | 5x/3+2=(7x+1)/4 | | X+3/9=a+b | | 50-6+8=x | | 4/5x1/15 | | x/2-2=9 | | 7q-46+3q+6=180 | | 9x+-1=3 | | 5n+34=-2(1-n) | | 4(x+3)=6x+10 | | y=-2/5x-4 | | 8(n-6)=-112 | | 2/5x3/5=11/5 | | 12(2x+1)-14(8x+2)=3(x-4) | | f(x)=-2(x-3)(x-8) | | -3(2t+-2)+4t=5t-2 | | 6m+5(m-2)=56 | | 24a-22=-4(1a-6a) | | 11[3-(2-2x)]+10x=4(8x+3)-1 | | 7(6+c)=6(c-1) | | 15x^2-3x+90=0 | | 54=7m+12 | | 2/5+1/6x=76/165 | | -3y-15=9y+9 | | 6n+8=4n+28 | | 12+yx+zx=9 | | 7x+-4=2 | | 5(5x+2)= | | 6/5x-1/2=-5-3/10x | | -(32+4)=6z-3(3z+2) | | 3(x-7)=-6x+15 | | 5-6=9-6z |

Equations solver categories