((x+4)/(x^2-5x+6))/((x^2-16)/(x+3))

Simple and best practice solution for ((x+4)/(x^2-5x+6))/((x^2-16)/(x+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 ((x+4)/(x^2-5x+6))/((x^2-16)/(x+3)) equation: 


D( x )

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

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

x+3 = 0

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

x = 3 or x = 2

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

(x^2-16)/(x+3) = 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 (-3:2) U (2:3) U (3:4) U (4:+oo)

((x+4)/(x^2-(5*x)+6))/((x^2-16)/(x+3)) = 0

((x+4)/(x^2-5*x+6))/((x^2-16)/(x+3)) = 0

((x+4)*(x+3))/((x^2-5*x+6)*(x^2-16)) = 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 = (5-1^(1/2))/(1*2)

x = 3 or x = 2

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

((x+4)*(x+3))/((x-2)*(x-3)*(x^2-16)) = 0

( x+3 )

x+3 = 0 // - 3

x = -3

( x+4 )

x+4 = 0 // - 4

x = -4

x in { -3} 

x in { -4} 

x belongs to the empty set

See similar equations:

| 3(x-4)=-4x-19 | | -1/6+w=3/5 | | 3/2y+5/3y | | 6y+7(y-8)=-17 | | 4/5=u+3 | | 0.1x=-0.2x^2+10x+5 | | -24=3(x+2)+3x | | u+1/3=-5/6 | | 7(w-4)-4w=-7 | | 24m^3+4m^2= | | 2(y+3)=y+9 | | 0.5x-17=0.3x-1 | | 2(y+3)=y+4 | | 17x-17=-9x+2 | | 5x+3y=62 | | (x-6)+(9-11)=0 | | g=c/1-r | | 17x-17=9x+2 | | 24=-16t^2+45t+9 | | 5x/y-2y/x^2 | | h=-16t^2+45t+24 | | -12-12y=5-2y | | (9x-2)(5x+2)=0 | | 5a-2b=b | | ln(2x-3)+1=0 | | (9x-2)(5x-2)=0 | | x=1/2x^2-x-10 | | 4(x+3)-5=0 | | 3-6x/3=7x+1 | | -9=6+8/5 | | 3/10n-31/5=-11/5 | | 6(5v+4)=-6 |

Equations solver categories