2/(x^2-4)+(3x)/(x^2+5x+6)

Simple and best practice solution for 2/(x^2-4)+(3x)/(x^2+5x+6) 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 2/(x^2-4)+(3x)/(x^2+5x+6) equation: 


D( x )

x^2+5*x+6 = 0

x^2-4 = 0

x^2+5*x+6 = 0

x^2+5*x+6 = 0

x^2+5*x+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)

x = -2 or x = -3

x^2-4 = 0

x^2-4 = 0

1*x^2 = 4 // : 1

x^2 = 4

x^2 = 4 // ^ 1/2

abs(x) = 2

x = 2 or x = -2

x in (-oo:-3) U (-3:-2) U (-2:2) U (2:+oo)

2/(x^2-4)+(3*x)/(x^2+5*x+6) = 0

x^2+5*x+6 = 0

x^2+5*x+6 = 0

x^2+5*x+6 = 0

DELTA = 5^2-(1*4*6)

DELTA = 1

DELTA > 0

x = (1^(1/2)-5)/(1*2) or x = (-1^(1/2)-5)/(1*2)

x = -2 or x = -3

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

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

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

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

3*x^3+2*x^2-2*x+12 = 0

3*x^3+2*x^2-2*x+12 = 0

3*x^3+2*x^2-2*x+12 = 0

{ 1, -1, 2, -2, 3, -3, 4, -4, 6, -6, 12, -12 }

1

x = 1

3*x^3+2*x^2-2*x+12 = 15

1

-1

x = -1

3*x^3+2*x^2-2*x+12 = 13

-1

2

x = 2

3*x^3+2*x^2-2*x+12 = 40

2

-2

x = -2

3*x^3+2*x^2-2*x+12 = 0

-2

x+2

3*x^2-4*x+6

3*x^3+2*x^2-2*x+12

x+2

-3*x^3-6*x^2

12-4*x^2-2*x

4*x^2+8*x

6*x+12

-6*x-12

0

3*x^2-4*x+6 = 0

DELTA = (-4)^2-(3*4*6)

DELTA = -56

DELTA < 0

x in { -2} 

x+2 = 0

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

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

x+2 = 0

x+2 = 0 // - 2

x = -2

x in { -2} 

x belongs to the empty set

See similar equations:

| 2x*2=16 | | 75x+5=30.50 | | 2x+3/4(4c+16)=7 | | (3x)(2x+7)= | | 4=-6x+2x-4 | | 24+7m=-3.428571429 | | 3/4d+7=19 | | x=33.6+-1.2y | | x+39=33x | | 2(4k+4)=-24 | | 4=10x-30 | | 4y-16+y=-4 | | -15X-10=-9x+2 | | -(3z+3)=6z-3(3z+2) | | y=2x-sqrt(x^2+1) | | 8(4b-5)= | | -4X+13=6X-7 | | 3=x/2+7 | | 75x+375=1500 | | 4(2+4a)=8 | | 6x+4=8x-15 | | 20*30= | | -31=-7(-3x-5)+3(x+2) | | -12=x+2(4-3x) | | t+10-4t=-7 | | 8n=4n+4 | | 0.285714285714(4m+18)=12 | | 7x+3x-12=30 | | 5x-3=2x*2 | | 20+2g=14 | | (5x-3)(2x-3)= | | 2(x+10)=8 |

Equations solver categories