(x+6)/(x-8)*(-x^2+15*x-56)/(x^2-x-42)

Simple and best practice solution for (x+6)/(x-8)*(-x^2+15*x-56)/(x^2-x-42) 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+6)/(x-8)*(-x^2+15*x-56)/(x^2-x-42) equation: 


D( x )

x-8 = 0

x^2-x-42 = 0

x-8 = 0

x-8 = 0

x-8 = 0 // + 8

x = 8

x^2-x-42 = 0

x^2-x-42 = 0

x^2-x-42 = 0

DELTA = (-1)^2-(-42*1*4)

DELTA = 169

DELTA > 0

x = (169^(1/2)+1)/(1*2) or x = (1-169^(1/2))/(1*2)

x = 7 or x = -6

x in (-oo:-6) U (-6:7) U (7:8) U (8:+oo)

(((x+6)/(x-8))*((-x)^2+15*x-56))/(x^2-x-42) = 0

((x+6)*(x^2+15*x-56))/((x-8)*(x^2-x-42)) = 0

x^2+15*x-56 = 0

x^2+15*x-56 = 0

DELTA = 15^2-(-56*1*4)

DELTA = 449

DELTA > 0

x = (449^(1/2)-15)/(1*2) or x = (-449^(1/2)-15)/(1*2)

x = (449^(1/2)-15)/2 or x = (-(449^(1/2)+15))/2

(x+(449^(1/2)+15)/2)*(x-((449^(1/2)-15)/2)) = 0

x^2-x-42 = 0

x^2-x-42 = 0

DELTA = (-1)^2-(-42*1*4)

DELTA = 169

DELTA > 0

x = (169^(1/2)+1)/(1*2) or x = (1-169^(1/2))/(1*2)

x = 7 or x = -6

(x+6)*(x-7) = 0

((x+6)*(x+(449^(1/2)+15)/2)*(x-((449^(1/2)-15)/2)))/((x-8)*(x+6)*(x-7)) = 0

( x+(449^(1/2)+15)/2 )

x+(449^(1/2)+15)/2 = 0 // - (449^(1/2)+15)/2

x = -((449^(1/2)+15)/2)

( x+6 )

x+6 = 0 // - 6

x = -6

( x-((449^(1/2)-15)/2) )

x-((449^(1/2)-15)/2) = 0 // + (449^(1/2)-15)/2

x = (449^(1/2)-15)/2

x in { -6} 

x in { -((449^(1/2)+15)/2), (449^(1/2)-15)/2 }

See similar equations:

| 3/(r-6)+2/(r+6) | | 2x^2+49=49 | | x+1+4x-56=180 | | 144x+8x+1/9 | | 6/(n+1)-6/(n-4) | | 66.8*p=30 | | 2x+8+3x+17=180 | | X/35=75 | | x/5+6=x/3+2 | | 5x-129+2x-21=60 | | 5x-129+2x-21=120 | | x+3x-8=180 | | m/3=m/6+4/2 | | 3y-2x=-12 | | 4(w-5)=7+3w | | 1d+118.2=130.2 | | 6(1-4a)-2=-116 | | 175+2.00x=50 | | 3.00x=630 | | -8-(-39)=x/6 | | 1080/236.588 | | 1m+2.50=27.50 | | -(5a-51b+82)= | | 175+2.00x=3.00x | | 3.00x=175 | | 10+5e^2x=17 | | 3(5+3x)=8(x-3) | | 5t-6=6-t | | x-5/x+5 | | 1/3+0.5 | | -5/3u+3=-3/5u-4/5 | | k/8/k/16+3/2 |

Equations solver categories