1/(x^2-2x-3)-3/(2x^2-18)=1/(x^2+4x+3)

Simple and best practice solution for 1/(x^2-2x-3)-3/(2x^2-18)=1/(x^2+4x+3) 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^2-2x-3)-3/(2x^2-18)=1/(x^2+4x+3) equation: 


D( x )

x^2+4*x+3 = 0

2*x^2-18 = 0

x^2-(2*x)-3 = 0

x^2+4*x+3 = 0

x^2+4*x+3 = 0

x^2+4*x+3 = 0

DELTA = 4^2-(1*3*4)

DELTA = 4

DELTA > 0

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

x = -1 or x = -3

2*x^2-18 = 0

2*x^2-18 = 0

2*x^2 = 18 // : 2

x^2 = 9

x^2 = 9 // ^ 1/2

abs(x) = 3

x = 3 or x = -3

x^2-(2*x)-3 = 0

x^2-(2*x)-3 = 0

x^2-2*x-3 = 0

x^2-2*x-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

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

x = 3 or x = -1

x in (-oo:-3) U (-3:-1) U (-1:3) U (3:+oo)

1/(x^2-(2*x)-3)-(3/(2*x^2-18)) = 1/(x^2+4*x+3) // - 1/(x^2+4*x+3)

1/(x^2-(2*x)-3)-(3/(2*x^2-18))-(1/(x^2+4*x+3)) = 0

1/(x^2-2*x-3)-3*(2*x^2-18)^-1-(x^2+4*x+3)^-1 = 0

1/(x^2-2*x-3)-3/(2*x^2-18)-1/(x^2+4*x+3) = 0

x^2-2*x-3 = 0

x^2-2*x-3 = 0

x^2-2*x-3 = 0

DELTA = (-2)^2-(-3*1*4)

DELTA = 16

DELTA > 0

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

x = 3 or x = -1

(x+1)*(x-3) = 0

x^2+4*x+3 = 0

x^2+4*x+3 = 0

x^2+4*x+3 = 0

DELTA = 4^2-(1*3*4)

DELTA = 4

DELTA > 0

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

x = -1 or x = -3

(x+3)*(x+1) = 0

1/((x+1)*(x-3))-3/(2*x^2-18)-1/((x+3)*(x+1)) = 0

(1*(2*x^2-18)*(x+3))/((x+1)*(x-3)*(2*x^2-18)*(x+3))+(-3*(x+1)*(x-3)*(x+3))/((x+1)*(x-3)*(2*x^2-18)*(x+3))+(-1*(x-3)*(2*x^2-18))/((x+1)*(x-3)*(2*x^2-18)*(x+3)) = 0

1*(2*x^2-18)*(x+3)-3*(x+1)*(x-3)*(x+3)-1*(x-3)*(2*x^2-18) = 0

3*x^2-x^3-2*x^3+6*x^2+9*x+18*x-54-27 = 0

9*x^2-3*x^3+27*x-81 = 0

9*x^2-3*x^3+27*x-81 = 0

3*(3*x^2-x^3+9*x-27) = 0

3*x^2-x^3+9*x-27 = 0

{ 1, -1, 3, -3, 9, -9, 27, -27 }

1

x = 1

3*x^2-x^3+9*x-27 = -16

1

-1

x = -1

3*x^2-x^3+9*x-27 = -32

-1

3

x = 3

3*x^2-x^3+9*x-27 = 0

3

x-3

9-x^2

3*x^2-x^3+9*x-27

x-3

x^3-3*x^2

9*x-27

27-9*x

0

9-x^2 = 0

DELTA = 0^2-(-1*4*9)

DELTA = 36

DELTA > 0

x = (36^(1/2)+0)/(-1*2) or x = (0-36^(1/2))/(-1*2)

x = -3 or x = 3

x in { -3, 3, 3} 

3*(x+3)*(x-3)^2 = 0

(3*(x+3)*(x-3)^2)/((x+1)*(x-3)*(2*x^2-18)*(x+3)) = 0

(3*(x+3)*(x-3)^2)/((x+1)*(x-3)*(2*x^2-18)*(x+3)) = 0 // * (x+1)*(x-3)*(2*x^2-18)*(x+3)

3*(x+3)*(x-3)^2 = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x-3 )

x-3 = 0 // + 3

x = 3

x in { -3} 

x in { 3} 

x belongs to the empty set

See similar equations:

| B/3d^3-c/2d | | Y/3+Y/6=8/3 | | a^3+8= | | 1/-5y^-5 | | x^2-10x+25-16=0 | | 21x+18x=445 | | (21x+18y)=445 | | 12x+3=24 | | 8bt^4-8bj^4= | | x/6+18=12 | | 8x^2+55x=7 | | (20/t)+(30/t+8)=(15/2) | | n+(1/n)=(17/4) | | 3-5(x+9)=3 | | a+3b+170=100 | | 3c^2-3g^2= | | 4-2(1-w)=38 | | 19x+29y=-3 | | 2*4+18=x-14 | | x=sqrt(529) | | 7-y=5-2y | | x^2=529 | | 3[25-5(2)-8]= | | 2y=-3/5 | | (5w+2)(8+w)=0 | | m^3-6m^2-11m-6=0 | | f(2c)=5(4c^2)+6(2c) | | a=-70+-3b | | 8x^3+9x^2=0 | | a+b+b+b+80+90=100 | | 3/5(x-10)=4/5x | | 5-(-x)=2 |

Equations solver categories