((x^2-7x+10)/(x^2-x-20))*((x^2-16)/(x^2-4))

Simple and best practice solution for ((x^2-7x+10)/(x^2-x-20))*((x^2-16)/(x^2-4)) 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^2-7x+10)/(x^2-x-20))*((x^2-16)/(x^2-4)) equation: 


D( x )

x^2-x-20 = 0

x^2-4 = 0

x^2-x-20 = 0

x^2-x-20 = 0

x^2-x-20 = 0

DELTA = (-1)^2-(-20*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+1)/(1*2) or x = (1-81^(1/2))/(1*2)

x = 5 or x = -4

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:-4) U (-4:-2) U (-2:2) U (2:5) U (5:+oo)

((x^2-(7*x)+10)/(x^2-x-20))*((x^2-16)/(x^2-4)) = 0

((x^2-7*x+10)/(x^2-x-20))*((x^2-16)/(x^2-4)) = 0

((x^2-7*x+10)*(x^2-16))/((x^2-x-20)*(x^2-4)) = 0

x^2-7*x+10 = 0

x^2-7*x+10 = 0

DELTA = (-7)^2-(1*4*10)

DELTA = 9

DELTA > 0

x = (9^(1/2)+7)/(1*2) or x = (7-9^(1/2))/(1*2)

x = 5 or x = 2

(x-2)*(x-5) = 0

x^2-x-20 = 0

x^2-x-20 = 0

DELTA = (-1)^2-(-20*1*4)

DELTA = 81

DELTA > 0

x = (81^(1/2)+1)/(1*2) or x = (1-81^(1/2))/(1*2)

x = 5 or x = -4

(x+4)*(x-5) = 0

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

( x-2 )

x-2 = 0 // + 2

x = 2

( x-5 )

x-5 = 0 // + 5

x = 5

( x^2-16 )

1*x^2 = 16 // : 1

x^2 = 16

x^2 = 16 // ^ 1/2

abs(x) = 4

x = 4 or x = -4

x in { 2} 

x in { 5} 

x in { -4} 

x = 4

See similar equations:

| 4y^2-28y-15= | | 12abc^2-28a^2bc+8ab^2c= | | 10y^2+49y+18= | | 6t^2u^2+2tu^2v+7tuw= | | 2y^2+23y+30= | | 9y^2-18y-7= | | 4a^2b+ab^2-7ab= | | 3x+6=x+14 | | 3x^2-29x+18= | | b-7/-2=-2 | | 7h+9j= | | 4+3ln(x)=13 | | (r^3-s^3)/r-s | | 7y^2-20y-3= | | -6x^2+x-5=0 | | 3pq^2+2qr+4pqr= | | 2y^2-7y+6= | | 3h+3=-13+5h | | 4-7ln(x)=12 | | 3z^2-4z-7= | | 3=(18+n)/44 | | x=7y-98x | | 2z^2+21z+10= | | (4x-5)/(x+1)=3 | | 186=6x-6(-4x+9) | | 7z^2-13z-2= | | 8st+7su+9sv= | | 7z^2-13z^2= | | 5+6=-2 | | y=22-2x | | 1+6=4 | | 2z^2-7z+6= |

Equations solver categories