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

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


D( x )

x^2-16 = 0

x+4 = 0

x-4 = 0

x^2-16 = 0

x^2-16 = 0

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x+4 = 0

x+4 = 0

x+4 = 0 // - 4

x = -4

x-4 = 0

x-4 = 0

x-4 = 0 // + 4

x = 4

x in (-oo:-4) U (-4:4) U (4:+oo)

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

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

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

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

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

x*(x+4)*(x^2-16)-4*(x-4)*(x^2-16)-2*x*(x-4)*(x+4) = 0

x^4-2*x^3+32*x-256 = 0

x^4-2*x^3+32*x-256 = 0

x^4-2*x^3+32*x-256 = 0

{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32, 64, -64, 128, -128, 256, -256 }

1

x = 1

x^4-2*x^3+32*x-256 = -225

1

-1

x = -1

x^4-2*x^3+32*x-256 = -285

-1

2

x = 2

x^4-2*x^3+32*x-256 = -192

2

-2

x = -2

x^4-2*x^3+32*x-256 = -288

-2

4

x = 4

x^4-2*x^3+32*x-256 = 0

4

x-4

x^3+2*x^2+8*x+64

x^4-2*x^3+32*x-256

x-4

4*x^3-x^4

2*x^3+32*x-256

8*x^2-2*x^3

8*x^2+32*x-256

32*x-8*x^2

64*x-256

256-64*x

0

x^3+2*x^2+8*x+64 = 0

{ 1, -1, 2, -2, 4, -4, 8, -8, 16, -16, 32, -32, 64, -64 }

1

x = 1

x^3+2*x^2+8*x+64 = 75

1

-1

x = -1

x^3+2*x^2+8*x+64 = 57

-1

2

x = 2

x^3+2*x^2+8*x+64 = 96

2

-2

x = -2

x^3+2*x^2+8*x+64 = 48

-2

4

x = 4

x^3+2*x^2+8*x+64 = 192

4

-4

x = -4

x^3+2*x^2+8*x+64 = 0

-4

x+4

x^2-2*x+16

x^3+2*x^2+8*x+64

x+4

-x^3-4*x^2

8*x-2*x^2+64

2*x^2+8*x

16*x+64

-16*x-64

0

x^2-2*x+16 = 0

DELTA = (-2)^2-(1*4*16)

DELTA = -60

DELTA < 0

x in { 4, -4} 

(x-4)*(x+4) = 0

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

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

(x-4)*(x+4) = 0

( x+4 )

x+4 = 0 // - 4

x = -4

( x-4 )

x-4 = 0 // + 4

x = 4

x in { -4} 

x in { 4} 

x belongs to the empty set

See similar equations:

| 5n/2-6/7=93/14 | | 9-2y/3 | | 3x-20=180 | | 3x+8(x-4)=3(x-8) | | b+7/7=b-8/10 | | 6x^4+3x^3-24x^2-12x=0 | | 5y=-4x+15 | | 2[w-(4w+13)+3]=2(w+10) | | y^2-5y+14=0 | | x-.2=43.08 | | 4.05p+14.40=4.50(p/3) | | 3*x^2-12x+36=0 | | x^2-2x-2x+4=-2 | | 11+4t=2t-3t+12 | | 3x+17+5x=17x+10 | | 5/9(t+2)=1/6(3t-9) | | x^2-4x+4=2i | | 3x=-7y+0 | | (x/x-9)+2=9/x-9 | | 56.25x2/25 | | 21x/256 | | 8a-6+2-9a-a= | | 2/7(15x+4)=1/2(9x-10)+4 | | 16=4y/4 | | 2+7x=68-x | | x-4=12/x | | x/x-9+2=9/x-9 | | 81.6x=830-1.4x | | 4x+4=12x-52 | | 81.6x=830-1.4 | | x/9-8=7/8 | | x+x-23+x/4=562 |

Equations solver categories