(x/x-4)-(4/x+4)=(32/x2-16)

Simple and best practice solution for (x/x-4)-(4/x+4)=(32/x2-16) 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)=(32/x2-16) 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-(4/x)-4-4 = 32/(x^2)-16 // - 32/(x^2)-16

x/x-(4/x)-(32/(x^2))-4-4+16 = 0

x/x-4*x^-1-32*x^-2-4-4+16 = 0

9-4*x^-1-32*x^-2 = 0

t_1 = x^-1

9-32*t_1^2-4*t_1^1 = 0

9-32*t_1^2-4*t_1 = 0

DELTA = (-4)^2-(-32*4*9)

DELTA = 1168

DELTA > 0

t_1 = (1168^(1/2)+4)/(-32*2) or t_1 = (4-1168^(1/2))/(-32*2)

t_1 = (4*73^(1/2)+4)/(-64) or t_1 = (4-4*73^(1/2))/(-64)

t_1 = (4*73^(1/2)+4)/(-64)

x^-1-((4*73^(1/2)+4)/(-64)) = 0

1*x^-1 = (4*73^(1/2)+4)/(-64) // : 1

x^-1 = (4*73^(1/2)+4)/(-64)

-1 < 0

1/(x^1) = (4*73^(1/2)+4)/(-64) // * x^1

1 = ((4*73^(1/2)+4)/(-64))*x^1 // : (4*73^(1/2)+4)/(-64)

-64*(4*73^(1/2)+4)^-1 = x^1

x = -64*(4*73^(1/2)+4)^-1

t_1 = (4-4*73^(1/2))/(-64)

x^-1-((4-4*73^(1/2))/(-64)) = 0

1*x^-1 = (4-4*73^(1/2))/(-64) // : 1

x^-1 = (4-4*73^(1/2))/(-64)

-1 < 0

1/(x^1) = (4-4*73^(1/2))/(-64) // * x^1

1 = ((4-4*73^(1/2))/(-64))*x^1 // : (4-4*73^(1/2))/(-64)

-64*(4-4*73^(1/2))^-1 = x^1

x = -64*(4-4*73^(1/2))^-1

x in { -64*(4*73^(1/2)+4)^-1, -64*(4-4*73^(1/2))^-1 }

See similar equations:

| p+rx=sx-t | | (Y*y)+y=0 | | (Q*Q)-3Q=0 | | F(F-5)=0 | | -3(r+9)=-46 | | X^4+2x+3=0 | | -4x^2+23x-6=0 | | 2w+14=8W+44 | | 9x=5(x-35) | | -3(r+4)=-37 | | 9x=(x-35) | | 5x=9(x+35) | | log(x)=1 | | 15=4/1.2+b | | 9x=5(x+35) | | (9+5/7x)+6=14 | | 9.75+p=64 | | 2(3m-2)+10=(m-4)-3 | | -40x^2-47x+12= | | 35a=85-3a | | 4x^2+x-10=0 | | h=100-16t | | 6x-2=1x+13 | | -6*3-20=-2*3+4(1+3*3) | | 5/4=a+3/8 | | 9/20=x^2 | | -8+5y=23 | | (3x-3)(x-5)=0 | | -981/2-1001/4 | | 10v=30+5v | | (x-3)(3x-5)=0 | | -981/2-s=1001/4 |

Equations solver categories