1/(x-3)=5x/(x^2-16)

Simple and best practice solution for 1/(x-3)=5x/(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 1/(x-3)=5x/(x^2-16) equation: 


D( x )

x^2-16 = 0

x-3 = 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-3 = 0

x-3 = 0

x-3 = 0 // + 3

x = 3

x in (-oo:-4) U (-4:3) U (3:4) U (4:+oo)

1/(x-3) = (5*x)/(x^2-16) // - (5*x)/(x^2-16)

1/(x-3)-((5*x)/(x^2-16)) = 0

1/(x-3)-5*x*(x^2-16)^-1 = 0

1/(x-3)+(-5*x)/(x^2-16) = 0

(1*(x^2-16))/((x-3)*(x^2-16))+(-5*x*(x-3))/((x-3)*(x^2-16)) = 0

1*(x^2-16)-5*x*(x-3) = 0

15*x-4*x^2-16 = 0

15*x-4*x^2-16 = 0

15*x-4*x^2-16 = 0

DELTA = 15^2-(-16*(-4)*4)

DELTA = -31

DELTA < 0

1 = 0

1/((x-3)*(x^2-16)) = 0

1/((x-3)*(x^2-16)) = 0 // * (x-3)*(x^2-16)

1 = 0

x belongs to the empty set

See similar equations:

| -5z+1=-4 | | 7(b-1)=4b+12 | | 12+2d=17 | | 15h-13h=18 | | 100=10x+10 | | 6d-5d=6 | | 8a-6a-a= | | y=2x^2-20x-36 | | 3b+b-2=9-b | | 4+6y= | | 2a^2+19a+28=0 | | 8+4c=10 | | 2b^2-3b-5=0 | | -35=-5/2u | | z/10+3=3 | | 170x=400000 | | 11y-9x=3 | | 1x=4x-9 | | a+9=8*a-(2-a) | | x^2y(3x+2y-7)=0 | | Y+18=-5 | | 3a-4a+2a= | | 2x-4(x-1)=14x-6 | | 20+x-17=2x-7+17 | | 4+z=91 | | 5(r-3)-4(r-1)=2(r+7) | | 2g+16=10 | | 5x-5=5(x-1)+13 | | 10-5x-4x=-17 | | 2x+7=4x+9 | | -2(1+5a)=-6(9+3) | | -4(x-2)+3(x+1)=9 |

Equations solver categories